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Aspect of category theory
A coequalizer is the colimit of a diagram consisting of two objects X and Y and two parallel morphisms f, g : X → Y. More explicitly, a coequalizer of
Coequalizer
Theorem in category theory
split coequalizer sequence in D is itself a coequalizer sequence in C. In different words, U creates (preserves and reflects) U-split coequalizer sequences
Beck's_monadicity_theorem
Most general completion of a commutative square given two morphisms with same domain
are coequalizers and coproducts; Pushouts can be constructed from coproducts and coequalizers, as described below (the pushout is the coequalizer of the
Pushout_(category_theory)
Mathematical category with finite limits and coequalizers
complete. If f : X → Y is a morphism in C, and is a pullback, then the coequalizer of p0, p1 exists. The pair (p0, p1) is called the kernel pair of f. Being
Regular_category
Quotient space of a codomain of a linear map by the map's image
zero morphisms. The cokernel of a morphism f : X → Y is defined as the coequalizer of f and the zero morphism 0XY : X → Y. Explicitly, this means the following
Cokernel
Surjective homomorphism
be regular if it is a coequalizer of some pair of parallel morphisms. An epimorphism f is said to be strict if it is a coequalizer of every pair of morphisms
Epimorphism
Highest court of jurisdiction in the U.S.
Marshall sought to do away with this practice to help build the Court into a coequal branch. Suddath, Claire (December 19, 2008). "A Brief History of Impeachment"
Supreme Court of the United States
Supreme_Court_of_the_United_States
Language avoiding bias towards a sex or social gender
gender-specific to refer to roles or professions, formation of phrases in a coequal manner, and discontinuing the collective use of male or female terms. For
Gender-neutral_language
U.S. state
heads the executive branch. Legislative authority vests in a separate but coequal legislature. Judicial power is constitutionally guaranteed to the independent
Massachusetts
President of the United States from 1861 to 1865
Hampton Roads. Lincoln refused to negotiate with the Confederacy as a coequal, and the only agreement reached at the meeting concerned the exchange of
Abraham_Lincoln
Type of crime family
closely enough with the Five Families that it appears to be a peer or near coequal of the families. Various criminal organizations have been deemed the "Sixth
Sixth_Family
Generalization of equivalence classes to scheme theory
equivalence relation f : R → X × X {\displaystyle f:R\to X\times X} is a coequalizer for the pair of maps R → f X × X → pr i X , i = 1 , 2 , {\displaystyle
Quotient by an equivalence relation
Quotient_by_an_equivalence_relation
General theory of mathematical structures
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Category_theory
Category whose objects are measurable spaces and whose morphisms are measurable maps
set-theoretic equalizer. Dually, the coequalizer is given by placing the quotient sigma-algebra on the set-theoretic coequalizer. Direct limits and inverse limits
Category_of_measurable_spaces
Mormon. Barb becomes fed up with interning. She claims that women are coequal with men in their relationship to God and believes herself to be a priesthood
List_of_Big_Love_episodes
American public research university
major institution in its own right. In 1951, UCLA was formally elevated to coequal status with UC Berkeley, with both institutions headed by chancellors who
University of California, Los Angeles
University_of_California,_Los_Angeles
Generalized object in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Product_(category_theory)
Structure of the U.S. Space Force
space deltas, and squadrons. The Space Force is organized as one of two coequal military service branches within the Department of the Air Force, the other
Structure of the United States Space Force
Structure_of_the_United_States_Space_Force
Supreme legal document of India since 1950
representatives in the Council of States. On most topics the Rajya Sabha is coequal with the lower house or Lok Sabha, and its consent is required for a bill
Constitution_of_India
In mathematics, invertible homomorphism
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Isomorphism
Type of category in mathematics
relation on the set Hom(Y, X). Since C has colimits we may form the coequalizer of the two maps R → X; call this X/R. The equivalence relation is "effective"
Topos
establishing the Consulate (10 November 1799 – 18 May 1804). While initially a coequal of the other Consuls, Napoleon quickly set himself up as "First Consul
List of prime ministers of France
List_of_prime_ministers_of_France
Type of category in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Cartesian_closed_category
Maritime service branch of the U.S. military
policy. The Navy is part of the Department of the Navy, alongside the coequal United States Marine Corps, and is headed by the secretary of the Navy
United_States_Navy
Topics referred to by the same term
(disambiguation) Trinity, the Christian doctrine of one God existing in three coequal, coeternal, consubstantial divine persons This disambiguation page lists
Three_body
Category-theoretic construction
the product, this functor is covariant. Product Limits and colimits Coequalizer Direct limit Qiaochu Yuan (June 23, 2012). "Banach spaces (and Lawvere
Coproduct
action of the universal properties of the above on morphisms; equalizers, coequalizers, exponentials, image factorizations. You can help by adding missing information
Effective_topos
head of government retains executive power. The two co-princes serve coequally with limited powers that do not include an individual veto over government
Politics_of_Andorra
Government in British America
unlimited, while the American position was that colonial legislatures were coequal with Parliament and outside of its jurisdiction. As the revolution progressed
Colonial government in the Thirteen Colonies
Colonial_government_in_the_Thirteen_Colonies
Indexed collection of objects and morphisms in a category
Y)} is then a quiver; its limit is an equalizer, and its colimit is a coequalizer. If J is a poset category, then a diagram of type J is a family of objects
Diagram_(category_theory)
Military department in the Department of Defense
Coast Guard (USCG). These branches remain at all times independent and coequal service branches within the DON. It is led by the secretary of the Navy
United States Department of the Navy
United_States_Department_of_the_Navy
Theorem in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Lawvere's_fixed-point_theorem
Category theory concept
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Overcategory
Early Christian and Jewish religious systems
classic Gnostic movements. Radical dualism, or absolute dualism, posits two coequal divine forces, while in mitigated dualism one of the two principles is
Gnosticism
Higher categorical generalization of a topos
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
∞-topos
American actor and military officer (1908–1997)
personality of the alter ego." Bingham has described him as having "two coequal personas; the earnest idealist, the nostalgic figure of the homespun boy
James_Stewart
U.S. state
codifying segregation and racism. Alabama's government is divided into three coequal branches. The legislative branch is the Alabama Legislature, a bicameral
Alabama
Category of non-empty finite ordinals and order-preserving maps
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Simplex_category
German royal family and dynasty
exclusive primogeniture in the male line as well as marriage restrictions on coequal level. In 1867 the House created the Royal Dukedom of Urach for a younger
House_of_Württemberg
the trading posts of VOC within the Indian subcontinent). Bharat is a coequal name of India, as set down in Article 1 of the Constitution, adopted in
Names_of_India
High-ranking church official
Empire (Reichsfürst), holding a direct vote in the Imperial Diet assembly coequal to an actual Prince-abbot, as in each case treated below. The monastery
Prince-provost
Object in category theory
that z and s form a coproduct diagram for NNOs; also, !N : N → 1 is a coequalizer of s and 1N, i.e., every pair of global elements of N are connected by
Natural_numbers_object
Map (arrow) between two objects of a category
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Morphism
Combined military forces of the U.S.
Department of the Air Force) are civilian led entities that oversee the coequal military service branches organized within each department. The military
United_States_Armed_Forces
Fossilised organism
The diameter of the bodies and the spaces between each one is almost coequal, and the number of bodies within a given series decreases when they grow
Horodyskia
1993 UK local government election
year of the Council, with the three main party groups being briefed on a coequal basis. Following a by-election gain by the Liberal Democrats from the Conservatives
1993 Wiltshire County Council election
1993_Wiltshire_County_Council_election
Endofunctor on the category V of finite-dimensional vector spaces
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Polynomial_functor
Court with jurisdiction over disputes with some connection to a U.S. state
implied and others later developed the idea that American judges were coequal to legislatures and executives in their responsibility to carry out the
State_court_(United_States)
American social-political scandal
finances, especially in a frontier economy where kinship networks were coequal with business relationships, were concerning to his in-laws. Further to
Robards–Donelson–Jackson relationship controversy
Robards–Donelson–Jackson_relationship_controversy
category with one object whose morphisms are the elements of R. coequalizer The coequalizer of a pair of morphisms f , g : A → B {\displaystyle f,g:A\to
Glossary_of_category_theory
Construction in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Cone_(category_theory)
Monoidal category
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Tannakian_formalism
Mosque in Abuja, Federal Capital Territory, Nigeria
Imams who were hitherto addressed as Deputy Chief Imams were appointed as coequal Imams of National Mosque to assist the Murshid. They are Prof. Ibrahim
Abuja_National_Mosque
Category whose hom objects correspond (di-)naturally to objects in itself
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Closed_category
Functors which are surjective and injective on hom-sets
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Full_and_faithful_functors
Western half of the Roman Empire (395–476)
imperial court. Particularly from AD 395 to 476, there were separate, coequal courts dividing the governance of the empire into western and eastern provinces
Western_Roman_Empire
Category theory constructs
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Kan_extension
Overview of and topical guide to category theory
theory)/fiber product Inverse limit Pro-finite group Colimit Coproduct Coequalizer Cokernel Pushout (category theory) Direct limit Biproduct Direct sum
Outline_of_category_theory
Structure of the Bangladesh Army
command, 1 logistics command and 10 area commands consigned with their coequal divisions. The training command is also the doctrine body of the army and
List of formations of the Bangladesh Army
List_of_formations_of_the_Bangladesh_Army
Fiber bundle
principal bundle P {\displaystyle P} . In category theory, this is the coequalizer construction. There are two continuous maps P × G × F → P × F {\displaystyle
Associated_bundle
by the Constitution, and in the rule which recognizes their essential coequality."); e.g., Ainsworth v. Barn Ballroom Co., 157 F.2d 97, 100 (4th Cir. 1946)
Preamble to the United States Constitution
Preamble_to_the_United_States_Constitution
Siege of Rome during the Gothic War
in advance of the Lazic War (541–562). Belisarius was replaced by three coequal commanders, whose rivalry and corruption led to indiscipline and plundering
Sack_of_Rome_(546)
Mathematical concept in category theory
regular quotient object is represented by a regular epimorphism, namely a coequalizer of two parallel morphisms. In some categories, the categorical notion
Subobject
UK Government publication from the Department of Health
No Secrets, also known coequally as Adult Safeguarding, was a UK Government publication from the Department of Health which provided guidance on developing
No_Secrets_(adult_protection)
Study of Christian belief and practice
as Father), is the Son of God. He is considered (by Trinitarians) to be coequal with the Father and Holy Spirit. He is all God and all human: the Son of
Christian_theology
Three-volume work by Karl Marx, 1867–1894
capitalist mode of production. It presents capital, land, and labour as coequal, independent sources of wealth, obscuring the fact that profit and rent
Das_Kapital
Category in which all small limits exist
and products. Dually, a category is cocomplete if and only if it has coequalizers and all (small) coproducts, or, equivalently, pushouts and coproducts
Complete_category
Space service branch of the U.S. military
part of the Department of the Air Force alongside the U.S. Air Force, a coequal service. The Department of the Air Force is headed by the civilian secretary
United_States_Space_Force
head of government retains executive power. The two co-princes serve coequally with limited powers that do not include veto over government acts. Both
Executive_Council_of_Andorra
but destined to be Alexander's successor, defined the co-eternity and coequality of the Father and the Son, using the now famous term homoousios to express
Diversity in early Christian theology
Diversity_in_early_Christian_theology
Mapping between categories
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Functor
Mathematical concept
{\displaystyle \mathbf {C} } is small, then the coend can be described as the coequalizer in the diagram ∫ c S ( c , c ) ← ∐ c ∈ C S ( c , c ) ⇇ ∐ c → c ′ S (
End_(category_theory)
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Refinement_(category_theory)
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
N-group_(category_theory)
Dependency of England and then of Great Britain (1542–1800)
of England became "King of Ireland", theoretically elevating Ireland to coequal status with England, as a kingdom in personal union. There followed an
Kingdom_of_Ireland
Embedding of categories into functor categories
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Yoneda_lemma
Prominent political family from Virginia, United States of America
the basis for American constitutional law and made the Supreme Court a coequal branch of government along with the legislative and executive branches
Randolph_family_of_Virginia
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Smooth_functor
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
2-ring
Category with direct sums and certain types of kernels and cokernels
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Abelian_category
Government ministry of Japan
branches were directly responsible to the director general and functioned as coequal bodies with the Joint Staff Council and the staff offices. This structure
Ministry_of_Defense_(Japan)
Category whose objects are rings and whose morphisms are ring homomorphisms
equalizer (the equalizer of two ring homomorphisms is always a subring). The coequalizer of two ring homomorphisms f and g from R to S is the quotient of S by
Category_of_rings
Deliberate effort to influence languages or their varieties within a speech community
of Peru declared Quechua an official language of the Peruvian state, "coequal with Spanish." Four years later, the law was reversed. Peru's 1979 constitution
Language_planning
Assemblies of the Roman people
republic. The plebeian council, on the other hand, was formed and became coequal with the other assemblies over the course of the Conflict of the Orders
Roman_assemblies
Empress Regnant of China from 690 to 705
governmental offices and banners. Wu elevated Luoyang's status, making it a coequal capital. At her nephew Wu Chengsi's suggestion, she expanded the shrine
Wu_Zetian
Type of category in mathematics
Equivalently, it has an initial object, binary coproducts and binary coequalizers. E {\displaystyle {\mathcal {E}}} has exponential objects (in addition
Elementary_topos
Personification of the "destructive spirit" in Zoroastrianism
For Angra Mainyu, this interpretation meant a demotion from a spirit coequal with Ahura Mazda to a mere product of Ahura Mazda. Haug's theory was based
Ahriman
Public university system in California
when UCLA became the first UC site outside of Berkeley to achieve de jure coequal status with the Berkeley campus. That month, the regents approved a reorganization
University_of_California
Head of state
provisional constitution. Additionally, the National Assembly appointed three coequal chairmen, one of them being Karl Seitz, and established a State Council
President_of_Austria
In mathematics, collection of classes
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Conglomerate_(mathematics)
American politician (born 1987)
as governor;Perez stated that his goal was for the Legislature to be "a coequal branch of government." DeSantis accused Perez of following a personal agenda
Daniel_Perez_(politician)
Two fundamental and often opposing concepts
collaborate rather than compete, and they contribute to the creation in a coequal way. In many other instances the two beings are not of the same importance
Dualism_in_cosmology
2021 US presidential impeachment
system, interfered with the peaceful transition of power, and imperiled a coequal branch of Government", doing so in a way that rendered him "a threat to
Second impeachment of Donald Trump
Second_impeachment_of_Donald_Trump
Mathematical construction used in homotopy theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Simplicial_set
Legendary author of the Hermetica
renowned scribe Amenhotep, son of Hapu, and a wise man named Teôs were coequal deities of wisdom, science, and medicine; and, thus, they were placed alongside
Hermes_Trismegistus
Highest court in the state judiciary of a U.S. state
capital Augusta. Pennsylvania, whose supreme court has facilities at three coequal locations: the state capital Harrisburg, the largest city Philadelphia
State supreme courts in the United States
State_supreme_courts_in_the_United_States
Relation of categories in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Isomorphism_of_categories
Category admitting tensor products
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Monoidal_category
[interfering] with the peaceful transition of power, and [imperiling] a coequal branch of government" Adopted by the House by a vote of 232–197 on January
List of impeachment resolutions introduced against Donald Trump
List_of_impeachment_resolutions_introduced_against_Donald_Trump
Abstract mathematics relationship
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Equivalence_of_categories
travel, tourism, insurance
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER
travel, tourism, insurance