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Type of map
In cartography, geology, and robotics, a topological map is a type of diagram that has been simplified so that only vital information remains and unnecessary
Topological_map
Topological space construction
topological space under a given equivalence relation is a new topological space constructed by endowing the quotient set of the original topological space
Quotient_space_(topology)
Symbolic depiction of spatial relationships
including map kinds such as thematic maps, topographic maps, digital maps, and topological maps. A thematic map is a special purpose map that depicts
Map
Group that is a topological space with continuous group operations
In mathematics, topological groups are groups and topological spaces at the same time, where the group operations are required to be continuous. This
Topological_group
Analysis of datasets using techniques from topology
In applied mathematics, topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information
Topological_data_analysis
Vector space with a notion of nearness
In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures
Topological_vector_space
Map used to illustrate the routes of public transport
A transit map is a topological map in the form of a schematic diagram used to illustrate the routes and stations within a public transport system—whether
Transit_map
Number representing system complexity
In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity of
Topological_entropy
Topological space that locally resembles Euclidean space
all charts of a topological manifold map to Euclidean spaces of same dimension. In that case every topological manifold has a topological invariant, its
Manifold
Mathematical property of a space
and related areas of mathematics, a topological property or topological invariant is a property of a topological space that is invariant under homeomorphisms
Topological_property
Type of topological space
In topology, a topological manifold is a topological space that locally resembles real n-dimensional Euclidean space. Topological manifolds are an important
Topological_manifold
Mapping which preserves all topological properties of a given space
Poincaré), also called topological isomorphism, or bicontinuous function, is a bijective and continuous function between topological spaces that has a continuous
Homeomorphism
Topologically stable solution of a partial differential equation
In mathematics and physics, solitons, topological solitons and topological defects are three closely related ideas, all of which signify structures in
Topological_defect
Can be continuously shrunk to a point
mathematics, a topological space X is contractible if the identity map on X is null-homotopic, i.e. if it is homotopic to some constant map. Intuitively
Contractible_space
Matching of coordinates to physical locations
earliest approached to solve the map matching problem based on similarity between points' curve and the road curve. Topological map matching aligns GPS points
Map_matching
category of topological vector spaces is the category whose objects are topological vector spaces and whose morphisms are continuous linear maps between them
Category of topological vector spaces
Category_of_topological_vector_spaces
Schematic transport map of the London Underground network
and the Underground has used topological maps to illustrate the network ever since. Despite the complexity of making the map, Beck was paid just ten guineas
Tube_map
Mathematical space with a notion of closeness
Common types of topological spaces include Euclidean spaces, metric spaces and manifolds. Although very general, the concept of topological spaces is fundamental
Topological_space
Concept in algebraic topology
pair ( X , A ) {\displaystyle (X,A)} is shorthand for an inclusion of topological spaces i : A ↪ X {\displaystyle i\colon A\hookrightarrow X} . Sometimes
Topological_pair
Branch of mathematics
invariant under such deformations is a topological property. The following are basic examples of topological properties: the dimension, which allows
Topology
Concept in topology
Overall, topological equivalence is a weaker equivalence criterion than topological conjugacy, as it does not require that the time term is mapped along
Topological_conjugacy
In mathematics, a topological ring is a ring R {\displaystyle R} that is also a topological space such that both the addition and the multiplication are
Topological_ring
Study and practice of making maps
around the world despite it being so labor-intensive. A topological map is a very general type of map, the kind one might sketch on a napkin. It often disregards
Cartography
Mathematical function
}}_{\epsilon }Y} , the injective tensor product of the locally convex topological vector spaces (TVSs) X and Y. An integral linear operator is a continuous
Integral_linear_operator
spaces involved are also topological spaces (that is, topological vector spaces), then it makes sense to ask whether all linear maps are continuous. It turns
Discontinuous_linear_map
British graphic designer (1902–1974)
copy. The map was first issued as a pocket edition in January 1933 and was immediately popular. The Underground has used topological maps to illustrate
Harry_Beck
Topics referred to by the same term
open sets used to define a topological space Topology can also refer to the branch of mathematics studying these topological spaces. Topology (electronics)
Topology_(disambiguation)
Continuous deformation between two continuous functions
homotopy between two continuous functions f and g from a topological space X to a topological space Y is defined to be a continuous function H : X × [
Homotopy
mathematics, a topological algebra A {\displaystyle A} is an algebra and at the same time a topological space, where the algebraic and the topological structures
Topological_algebra
Collaborative map database
is a topological data structure without the formal concept of a layer, allowing thematically diverse data to commingle and interconnect. A map feature
OpenStreetMap
Topological space with a distinguished point
spaces – Category whose objects are topological spaces and whose morphisms are continuous maps Category of topological vector spaces Gamelin, Theodore W
Pointed_space
Representation of a system using abstract graphic symbols
language Chart Diagram Logic gate § Symbols Straight-line diagram Topological map Transit map Open-source hardware Thomas E. French, Charles J. Vierck (1975)
Schematic
Category whose objects are topological spaces and whose morphisms are continuous maps
the category of topological spaces, often denoted T o p {\displaystyle \mathbf {Top} } , is the category whose objects are topological spaces and whose
Category of topological spaces
Category_of_topological_spaces
Field theory involving topological effects in physics
mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes topological invariants. While
Topological quantum field theory
Topological_quantum_field_theory
Type of continuous map in topology
In topology, a covering or covering projection is a map between topological spaces that, intuitively, locally acts like a projection of multiple copies
Covering_space
Mathematical construction used in homotopy theory
maps between them. Simplicial sets are higher-dimensional generalizations of directed graphs. Every simplicial set gives rise to a "nice" topological
Simplicial_set
Functions that send open (resp. closed) subsets to open (resp. closed) subsets
mathematics, more specifically in topology, an open map is a function between two topological spaces that maps open sets to open sets. That is, a function f
Open_and_closed_maps
bilinear maps of topological vector spaces that is weaker than continuity but stronger than separate continuity. Many important bilinear maps that are
Hypocontinuous_bilinear_map
State of matter with insulating bulk but conductive boundary
material. But in a topological insulator, these bands are, in an informal sense, "twisted", relative to a trivial insulator. The topological insulator cannot
Topological_insulator
Mathematical term
called the direct sum, free union, free sum, topological sum, or coproduct) of a family of topological spaces is a space formed by equipping the disjoint
Disjoint_union_(topology)
Topological space that is connected
Connectedness is one of the principal topological properties that distinguish topological spaces. A subset of a topological space X {\displaystyle X} is a connected
Connected_space
Tool in homological algebra
a topological space X is constructed using continuous maps from a simplex to X, and the homomorphisms of the chain complex capture how these maps restrict
Chain_complex
Algebraic structure formed from a collection of algebraic structures
{B} \end{bmatrix}}.} A topological vector space (TVS) X , {\displaystyle X,} such as a Banach space, is said to be a topological direct sum of two vector
Direct_sum
Continuous surjection satisfying a local triviality condition
was that for Seifert what is now called the base space (topological space) of a fiber (topological) space E was not part of the structure, but derived from
Fiber_bundle
Topology determined by family of subspaces
of subspaces. Loosely speaking, a topological space is coherent with a family of subspaces if it is a topological union of those subspaces. It is also
Coherent_topology
Map that satisfies a condition similar to that of being an open map
almost open map between topological spaces is a map that satisfies a condition similar to, but weaker than, the condition of being an open map. As described
Almost_open_map
Generalization of finite-dimensional Euclidean spaces different from Hilbert spaces
convex topological vector space A {\displaystyle A} such that for every locally convex topological vector space B {\displaystyle B} the natural map from
Nuclear_space
Inclusion of one mathematical structure in another, preserving properties of interest
continuous map f : X → Y {\displaystyle f:X\to Y} between topological spaces X {\displaystyle X} and Y {\displaystyle Y} is a topological embedding if
Embedding
Topological vector space
{\mathcal {C}}} is either the category of topological spaces or some subcategory of the category of topological vector spaces (TVSs); If all objects in
LF-space
Inherited topology
then it is a topological space in its own right, and is called a subspace of ( X , τ ) {\displaystyle (X,\tau )} . Subsets of topological spaces are usually
Subspace_topology
Mathematical function with no sudden changes
operator. Specifically, the map that sends a subset A {\displaystyle A} of a topological space X {\displaystyle X} to its topological closure cl X A {\displaystyle
Continuous_function
Function of two vectors linear in each argument
and Z {\displaystyle Z} are topological vector spaces and let b : X × Y → Z {\displaystyle b:X\times Y\to Z} be a bilinear map. Then b is said to be separately
Bilinear_map
Concept in topological group theory
a covering group of a topological group H is a covering space G of H such that G is a topological group and the covering map p : G → H is a continuous
Covering_group
Type of topological space
is a topological space where distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space,
Hausdorff_space
Mathematical function, in linear algebra
Continuous linear operator – Function between topological vector spaces Linear functional – Linear map from a vector space to its field of scalarsPages
Linear_map
Extensive footbridge network in Hong Kong
Tower Hutchison House(redevelopment in progress) AIA Central A topological map Another map beside the harbour Section near Exchange Square Footbridge Network
Central_Elevated_Walkway
Continuous closed surjective map, each of whose fibers are also compact sets
especially topology, a perfect map is a particular kind of continuous function between topological spaces. Perfect maps are weaker than homeomorphisms
Perfect_map
Field of mathematics
topology. The central object of study in topological dynamics is a topological dynamical system, i.e. a topological space, together with a continuous transformation
Topological_dynamics
Concept in topology
set) is one example of a topological quantum number. The simplest and most important case is the degree of a continuous map from the n {\displaystyle
Degree of a continuous mapping
Degree_of_a_continuous_mapping
In mathematics, vector space of linear forms
discontinuous linear maps. Nevertheless, in the theory of topological vector spaces the terms "continuous dual space" and "topological dual space" are often
Dual_space
Space which has no holes through it
fundamental group of a topological space is an indicator of the failure for the space to be simply connected: a path-connected topological space is simply connected
Simply_connected_space
Topological relational characteristic
In topology, two points of a topological space X are topologically indistinguishable if they have exactly the same neighborhoods. That is, if x and y
Topological indistinguishability
Topological_indistinguishability
Algebraic structure
is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic
Interior_algebra
City in Israel
Palestine Studies. p. 108. ISBN 0-88728-224-5. Sheet Hebron of 100,000 topological map series, Survey of Israel, 1956. Khalidi, 1992, p. 97 Ed. Cecil Roth
Kiryat_Gat
distance and orientation. Topological relationships are commonly expressed in terms of networks and depicted with topological maps. toponymy The study of
Glossary of geography terms (N–Z)
Glossary_of_geography_terms_(N–Z)
Space where bounded operators are continuous
to address questions of boundedness of sets and linear maps, in the same way that a topological space possesses the minimum amount of structure needed
Bornological_space
Discipline related to computer vision and cartography
sensors or 3D scanners. The internal representation of the map can be "metric" or "topological": The metric framework is the most common for humans and
Robotic_mapping
Hill fought over during the Battle of Gettysburg
Retrieved 2010-02-19. See, e.g., paragraph beginning, “Without a topological map,” about 15% into his letter, first reprinted in “A History of the Class
Little_Round_Top
Topological vector space whose topology can be defined by a metric
{\displaystyle X} into a topological vector space). Every topological vector space (TVS) X {\displaystyle X} is an additive commutative topological group but not
Metrizable topological vector space
Metrizable_topological_vector_space
Longest river in Asia
(江) and Quianshui (江水) by Marco Polo, and appeared on the earliest English maps as Kian or Kiam. By the mid-19th century, these romanizations had standardized
Yangtze
Concept in math
and algebra. The category of topological spaces Top has topological spaces as objects and as morphisms the continuous maps between them. The older definition
Homotopy_category
where one topological space is attached or "glued" onto another. Specifically, let X {\displaystyle X} and Y {\displaystyle Y} be topological spaces, and
Adjunction_space
Vehicle operated with reduced or no human input on public roads
called MapLite, which allows self-driving cars to drive with simple maps. The system combines the GPS position of the vehicle, a "sparse topological map" such
Self-driving_car
In mathematics, the Bohr compactification of a topological group G is a compact Hausdorff topological group H that may be canonically associated to G.
Bohr_compactification
Computational navigational technique used by robots and autonomous vehicles
geometrically accurate map. Topological SLAM approaches have been used to enforce global consistency in metric SLAM algorithms. In contrast, grid maps use arrays
Simultaneous localization and mapping
Simultaneous_localization_and_mapping
Type of topological space
a discrete subspace of some given topological space ( Y , τ ) {\displaystyle (Y,\tau )} refers to a topological subspace of ( Y , τ ) {\displaystyle
Discrete_space
Combinatorial representation of a graph on an orientable surface
of cells, we need to use cellular topological models like combinatorial maps or generalized maps. A combinatorial map is a triplet M = (D, σ, α) such that:
Combinatorial_map
Peninsula in northeastern Tunisia
A French topological map, showing the Cape Bon peninsula and cape along the southern shore of the Gulf of Tunis
Cape_Bon
Concept in functional analysis
the category of topological vector spaces. Formally, topological direct sums strengthen the algebraic direct sum by requiring certain maps be continuous;
Complemented_subspace
Field of mathematics and science based on non-linear systems and initial conditions
f^{k}(U)\cap V\neq \emptyset } . Topological transitivity is a weaker version of topological mixing. Intuitively, if a map is topologically transitive then given
Chaos_theory
Structure in functional analysis
analysis and related areas of mathematics, a complete topological vector space is a topological vector space (TVS) with the property that whenever points
Complete topological vector space
Complete_topological_vector_space
Mathematical space with a notion of distance
different metric properties. Conversely, not every topological space can be given a metric. Topological spaces which are compatible with a metric are called
Metric_space
Strong form of uniform continuity
and a topological manifold: a PL structure gives rise to a unique Lipschitz structure. While Lipschitz manifolds are closely related to topological manifolds
Lipschitz_continuity
Russian mathematician (born 1938)
spaces, cardinal functions, topological function spaces and other topological groups, and special classes of topological maps. After a long and distinguished
Alexander_Arhangelskii
dynamical systems. Topological fixed point theory of multivalued mappings, Lech Górniewicz, Springer, 1999, ISBN 978-0-7923-6001-8 Topological degree theory
Topological_degree_theory
Symmetric tessellation of a closed surface
of the decomposition. Regular maps are, in a sense, topological generalizations of Platonic solids. The theory of maps and their classification is related
Regular_map_(graph_theory)
Space with topology generated by convex sets
of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize
Locally convex topological vector space
Locally_convex_topological_vector_space
High-capacity public transport
transit uses its own logo that fits into the profile. A transit map is a topological map or schematic diagram used to show the routes and stations in a
Rapid_transit
Tool to track locally defined data attached to the open sets of a topological space
{\text{Top}}/X} of topological spaces over X {\displaystyle X} , that is, the category of topological spaces together with fixed continuous maps to X {\displaystyle
Sheaf_(mathematics)
Non-orientable surface with one edge
Every non-orientable surface contains a Möbius strip. As an abstract topological space, the Möbius strip can be embedded into three-dimensional Euclidean
Möbius_strip
is a bounded set. Category of topological spaces The category Top has topological spaces as objects and continuous maps as morphisms. Cauchy sequence
Glossary_of_general_topology
Continuous, position-preserving mapping from a topological space into a subspace
well-behaved type of topological space. For example, every topological manifold is an ANR. Every ANR has the homotopy type of a very simple topological space, a CW
Retraction_(topology)
Major river in China
Yellow River Cantata Yellow River floods Yellow River management Yellow River Map Yellow River Delta National Nature Reserve Yellow River Piano Concerto Yellow
Yellow_River
Linear operator related to topological vector spaces
the projective tensor product of two topological vector spaces (TVSs). Throughout let X,Y, and Z be topological vector spaces (TVSs) and L : X → Y be
Nuclear_operator
Manifold upon which it is possible to perform calculus
a differentiable manifold is a topological manifold with a globally defined differential structure. Any topological manifold can be given a differential
Differentiable_manifold
Simple polynomial map exhibiting chaotic behavior
orbit. Let the symbol ∘ denote the composition of maps . In general, for a topological space X, Y, two maps f : X → X and g : Y → Y are composed by a homeomorphism
Logistic_map
defined for maps, too. A map is n-connected if it is an isomorphism "up to dimension n, in homotopy". All definitions below consider a topological space X
Homotopical_connectivity
Generalization of boundedness
Kolmogorov in 1935. Suppose X {\displaystyle X} is a topological vector space (TVS) over a topological field K . {\displaystyle \mathbb {K} .} A subset B
Bounded set (topological vector space)
Bounded_set_(topological_vector_space)
Distance-preserving mathematical transformation
sets is injective. Clearly, every isometry between metric spaces is a topological embedding. A global isometry, isometric isomorphism or congruence mapping
Isometry
Mathematical description of mixing substances
f. In the operator theory, a topologically transitive bounded linear operator (a continuous linear map on a topological vector space) is usually called
Mixing_(mathematics)
TOPOLOGICAL MAP
TOPOLOGICAL MAP
Girl/Female
Hindu
King of stars, Map
Surname or Lastname
English
English : metronymic from the medieval female personal name Mab(be) (see Mapp).
Surname or Lastname
English
English : topographic name for someone who lived by a maple tree, Middle English mapel (Old English mapul).French : from Latin mapula, a diminutive of mappa ‘piece of cloth’, ‘napkin’, presumably a metonymic occupational name for a cloth merchant or a weaver.
Surname or Lastname
English (Somerset and Gloucester)
English (Somerset and Gloucester) : unexplained. Perhaps a habitational name from a lost or unidentified place.
Surname or Lastname
English
English : from a short form of the female personal name Mabel (see Mapp).
Surname or Lastname
English and French
English and French : from a medieval personal name, ultimately from Greek Basileios ‘royal’. The name was borne by a 4th-century bishop of Caesarea in Cappadocia, regarded as one of the four Fathers of the Eastern Church; he wrote important theological works and established a rule for religious orders of monks. Various other saints are also known under these and cognate names. The popularity of Vasili as a Russian personal name is largely due to the fact that this was the ecclesiastical name of St. Vladimir (956–1015), Prince of Kiev, who was chiefly responsible for the introduction of Christianity to Russia. As an American surname, this has also absorbed some Greek, Russian, and other derivatives of Greek Vasili.
Female
Native American
Native American Sioux name MAPIYA means "sky."
Surname or Lastname
English
English : from a variant of the medieval female personal name Mab(be), a short form of Middle English, Old French Amabel (from Latin amabilis ‘loveable’). This has survived into the 20th century in the short form Mabel.English : possibly from an unattested Old English male personal name, Mappa.English : from Old Welsh map, mab ‘son’, which was used as a distinguishing epithet.
Boy/Male
Hindu
King of stars, Map
Surname or Lastname
English
English : variant of Sewell.Samuel Sewall (1652–1730) came with his parents from Bishop Stoke, Hampshire, England, to Newbury, MA, as a nine-year-old boy. In 1676 he married Hannah Hull, a wealthy heiress, and in 1681 he was appointed printer to the Council in Boston. He served as a judge in the infamous Salem witchcraft trials of 1692—the only one of the judges to admit publicly that he had been wrong. In 1700 he published The Selling of Joseph, which argues that all men are created equal and presents theological arguments against slavery.
Surname or Lastname
English and French
English and French : from the medieval personal name Masselin. This originated as an Old French pet form of Germanic names with the first element mathal ‘speech’, ‘counsel’. However, it was later used as a pet form of Matthew. Compare Mace. A feminine form, Mazelina, was probably originally a pet form of Matilda.English and French : possibly a metonymic occupational name for a maker of wooden bowls, from Middle English, Old French maselin ‘bowl or goblet of maple wood’ (a diminutive of Old French masere ‘maple wood’, of Germanic origin). In some cases it may derive from the homonymous dialect terms maslin, one of which means ‘brass’ (Old English mæslen, mæstling), the other ‘mixed grain’ (Old French mesteillon).
Surname or Lastname
English (Norfolk)
English (Norfolk) : metronymic from the medieval female personal name Mab(be) (see Mapp 1).
Boy/Male
Tamil
King of stars, Map
Girl/Female
Tamil
King of stars, Map
Surname or Lastname
English
English : regional name from the district around Middlesbrough named Cleveland ‘the land of the cliffs’, from the genitive plural (clifa) of Old English clif ‘bank’, ‘slope’ + land ‘land’.Americanized spelling of Norwegian Kleiveland or Kleveland, habitational names from any of five farmsteads in Agder and Vestlandet named with Old Norse kleif ‘rocky ascent’ or klefi ‘closet’ (an allusion to a hollow land formation) + land ‘land’.Grover Cleveland (1837–1908), 22nd and 24th president of the U.S., was the fifth child of a country Presbyterian clergyman. His father, Richard Falley Cleveland, a graduate of Yale College and of the theological seminary at Princeton, was descended from a certain Moses Cleaveland who arrived in MA in 1635.
Surname or Lastname
English
English : variant of Maple.
Surname or Lastname
German
German : nickname for someone with boils or lumpy skin, or perhaps for a hunchback, from Middle High German maser ‘lump’, ‘protuberance’.German and English : from Middle High Germanmaser, Middle English maser ‘maple-wood bowl’ (Old French masere, of Germanic origin), hence a metonymic occupational name for a wood-turner producing such ware.English : variant spelling of Macer, an occupational name for a mace-bearer, from Old French maissier, massier, a derivative of Old French masse ‘mace’.German (Maaser) : pet form of Thomas.
Surname or Lastname
English
English : of uncertain origin, perhaps, as Reaney suggests, from a pet form of the Old English personal name Wippa, or perhaps a topographic name for someone who lived by a whipple tree, whatever that may have been. Chaucer lists whippletree (probably a kind of dogwood) along with maple, thorn, beech, hazel, and yew.Matthew Whipple came from England to Ipswich, MA, in about 1638. His descendent William Whipple (1730–85) born in Kittery, ME, was a signer of the Declaration of Independence.
Surname or Lastname
English
English : variant spelling of Maple.
Surname or Lastname
English
English : habitational name from Great and Little Linford in Buckinghamshire or Lynford in Norfolk. The former may have Old English hlyn ‘maple’ as its first element; the latter is more likely to contain līn ‘flax’. The second element in each case is Old English ford ‘ford’.
TOPOLOGICAL MAP
TOPOLOGICAL MAP
Girl/Female
Afghan, Arabic
Beautiful
Girl/Female
Tamil
Granter of issues
Boy/Male
Arthurian Legend
The Green Knight.
Girl/Female
Muslim/Islamic
Noble
Girl/Female
Indian
Beautiful
Girl/Female
Tamil
Suravinda | ஸà¯à®°à®µà®¿à®¨à¯à®¤à®¾
Beautiful yaksa
Girl/Female
Tamil
Angel, Protector, Very lazy
Girl/Female
Muslim
A river in Paradise.
Girl/Female
Greek
Defender of man.
Girl/Female
Indian, Modern
Queen
TOPOLOGICAL MAP
TOPOLOGICAL MAP
TOPOLOGICAL MAP
TOPOLOGICAL MAP
TOPOLOGICAL MAP
a.
Characterized by tropes; varied by tropes; tropical.
a.
Of or pertaining tootology.
v. t.
To use in a tropological sense, as a word; to make a trope of.
v. i.
To introduce innovations in doctrine, esp. in theological doctrine.
a.
Of or pertaining to zoology, or the science of animals.
a.
Of or pertaining to oology.
a.
Pertaining to homology; having a structural affinity proceeding from, or base upon, that kind of relation termed homology.
a.
Alt. of Posological
a.
Pertaining to doxology; giving praise to God.
a.
Of or pertaining to pomology.
a.
Theological.
n.
A student in a theological seminary.
a.
Pertaining to posology.
a.
Of or pertaining to nosology.
a.
Of or pertaining to theology, or the science of God and of divine things; as, a theological treatise.
adv.
In a zoological manner; according to the principles of zoology.
a.
Of or pertaining to orology.
a.
Of or pertaining to noology.
a.
Alt. of Tropological
a.
Relating to a horologe, or to horology.