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Subset that is closed and has no isolated points
a topological space is perfect if it is closed and has no isolated points. Equivalently: the set S {\displaystyle S} is perfect if S = S ′ {\displaystyle
Perfect_set
Property in descriptive set theory
of descriptive set theory, a subset of a Polish space has the perfect set property if it is either countable or has a nonempty perfect subset (Kechris 1995
Perfect_set_property
American entertainment group
Perfect compete against one another in a good-natured game or contest, often incorporating different sports and a unique set of rules. Dude Perfect also
Dude_Perfect
Set of points on a line segment with certain topological properties
of a perfect set that is nowhere dense. More generally, in topology, a Cantor space is a topological space homeomorphic to the Cantor ternary set (equipped
Cantor_set
Topics referred to by the same term
Perfect matrix Perfect number Perfect power Perfect set Chip Perfect, American businessman and politician Christine McVie née Perfect (1943–2022), English
Perfect
Branch of mathematics that studies sets
Zermelo–Fraenkel set theory. Determinacy refers to the fact that, under appropriate assumptions, certain two-player games of perfect information are determined
Set_theory
2026 South Korean television series
Perfect Crown (Korean: 21세기 대군부인) is a South Korean romantic comedy television series written by Yoo Ji-won, and directed by Park Joon-hwa [ko] and Bae
Perfect_Crown
American rock supergroup
release of their greatest hits album, Three Sixty, and a live album box set, A Perfect Circle Live: Featuring Stone and Echo in late 2013. The band reformed
A_Perfect_Circle
2025 documentary film by Geeta Gandbhir
The Perfect Neighbor is a 2025 American documentary film directed by Geeta Gandbhir about a shooting incident on June 2, 2023 where a white woman, Susan
The_Perfect_Neighbor
Ordered list of elements an artist intends to present
staff. "The Perfect Set List For Remembering Your Material". creativestandup.com. 14 August 2016. Retrieved 2018-11-18. "The Art of the Set List: Choosing
Set_list
Number equal to the sum of its proper divisors
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number
Perfect_number
Subfield of mathematical logic
of a Polish space have the property of Baire and the perfect set property. Modern descriptive set theory includes the study of the ways in which these
Descriptive_set_theory
1997 Japanese animated film by Satoshi Kon
Perfect Blue (Japanese: パーフェクトブルー, Hepburn: Pāfekuto Burū) is a 1997 Japanese animated psychological horror film directed by Satoshi Kon. It is loosely
Perfect_Blue
Set of all limit points of a set
A set S {\displaystyle S} with S = S ′ {\displaystyle S=S'} is called a perfect set. Equivalently, a perfect set is a closed dense-in-itself set, or
Derived_set_(mathematics)
Graph with tight clique-coloring relation
families. For instance, in all perfect graphs, the graph coloring problem, maximum clique problem, and maximum independent set problem can all be solved in
Perfect_graph
2009 film by David Twohy
A Perfect Getaway is a 2009 American thriller film written and directed by David Twohy and starring Timothy Olyphant, Milla Jovovich, Kiele Sanchez, and
A_Perfect_Getaway
Theorem in descriptive set theory
applied in descriptive set theory to show that Borel sets in Polish spaces have regularity properties such as the perfect set property. The theorem is
Borel_determinacy_theorem
2011 film by David Mackenzie
Perfect Sense is a 2011 science fiction romantic drama film directed by David Mackenzie, written by Kim Fupz Aakeson and starring Eva Green and Ewan McGregor
Perfect_Sense
Property in general topology
compactness in terms of closed sets; this is its most prominent application. Other applications include proving that certain perfect sets are uncountable, and the
Finite_intersection_property
Complement of an open subset
sets formed in the Borel sigma algebra, which includes the closed sets at the first level, the Fσ-sets in the second layer, and so on. A perfect set is
Closed_set
American anthology film and radio series
Livingston Hit-and-Run Driver with George Walcott and William Gould The Perfect Set-Up with William Henry, Helene Chadwick, Frank Shannon, and Robert Dudley
Crime Does Not Pay (film and radio series)
Crime_Does_Not_Pay_(film_and_radio_series)
Size of a set in mathematics
a rigid structure on the real numbers, known as the perfect set property, implying that every set of real numbers is either countable, or has cardinality
Cardinality
American mystery drama miniseries
The Perfect Couple is an American mystery drama miniseries based on the 2018 novel by Elin Hilderbrand. Created by Jenna Lamia and directed by Susanne
The Perfect Couple (TV series)
The_Perfect_Couple_(TV_series)
2022 video game
Perfect Tides is a 2022 point-and-click adventure game developed by Three Bees, the development studio of cartoonist Meredith Gran. The game is set in
Perfect_Tides
Hash function without any collisions
In computer science, a perfect hash function h for a set S is a hash function that maps distinct elements in S to a set of m integers, with no collisions
Perfect_hash_function
2012 film by Jason Moore
Pitch Perfect is a 2012 American musical comedy film directed by Jason Moore and written by Kay Cannon. It features an ensemble cast, including Anna Kendrick
Pitch_Perfect
2023 film by Wim Wenders
Perfect Days is a 2023 drama film directed by Wim Wenders from a script written by Wenders and Takuma Takasaki. A co-production between Japan and Germany
Perfect_Days
Property of topological space
are also called perfect spaces. The term perfect is also used, incompatibly, to refer to a space with no isolated points; see Perfect set. A countable intersection
Gδ_space
2015 television film
Heroin Addict". @PerfectHigh (February 5, 2015). "Just casually hanging with @israelbroussard & @RossButler on the set of #PerfectHigh!" (Tweet). Retrieved
Perfect_High
there have been 24 official perfect games by the current definition. No pitcher has thrown more than one. The perfect game thrown by Don Larsen in Game
List of Major League Baseball perfect games
List_of_Major_League_Baseball_perfect_games
Concept in descriptive set theory (mathematics)
theorem). Analytic sets are always Lebesgue measurable (indeed, universally measurable) and have the property of Baire and the perfect set property. When
Analytic_set
2000 Nintendo 64 video game
Perfect Dark is a 2000 first-person shooter game developed and published by Rare for the Nintendo 64. The first game of the Perfect Dark series, it follows
Perfect_Dark
Set theory construction
suitable forcing extension V[G] such that every set of reals is Lebesgue measurable, has the perfect set property, and has the Baire property. Solovay constructed
Solovay_model
Fractal named after mathematician Benoit Mandelbrot
region of the set is a hypocycloid of ( 1 − d ) {\displaystyle (1-d)} cusps.[citation needed] There is no perfect extension of the Mandelbrot set into 3D,
Mandelbrot_set
American musical comedy media franchise
Pitch Perfect is an American musical comedy media franchise created by Kay Cannon, based on the non-fiction book Pitch Perfect: The Quest for Collegiate
Pitch_Perfect_(franchise)
Generalization of "n-th" to infinite cases
this implies P(β + 1) = P(β). Thus, P(β) is a perfect set, so it is uncountable. Since P(β) ⊆ P′, the set P′ is uncountable. In both cases, P′ is uncountable
Ordinal_number
2013 box set by A Perfect Circle
A Perfect Circle Live: Featuring Stone and Echo is a live box set by American rock supergroup, A Perfect Circle. It was released via the band's own label
A Perfect Circle Live: Featuring Stone and Echo
A_Perfect_Circle_Live:_Featuring_Stone_and_Echo
Point of a subset S around which there are no other points of S
points of the set). A closed set with no isolated point is called a perfect set (it contains all its limit points and no isolated points). The number
Isolated_point
2000 television film directed by Lawrence Schiller
Perfect Murder, Perfect Town is a 2000 American television miniseries directed by Lawrence Schiller. The teleplay by Tom Topor is based on Schiller's
Perfect_Murder,_Perfect_Town
Condition in economics and game theory
Perfect information is a concept in game theory and economics that describes a situation where all players in a game or all participants in a market have
Perfect_information
determinacy perfect set A perfect set is a subset of a topological set equal to its derived set permutation A rearrangement of the elements of a set or sequence
Glossary_of_set_theory
Subset of a graph's nodes such that all other nodes link to at least one
efficient dominating set (also called an e.d. set or independent perfect dominating set) is a dominating set with the additional property that every vertex
Dominating_set
2017 film by Trish Sie
Pitch Perfect 3 is a 2017 American musical comedy film directed by Trish Sie and written by Kay Cannon and Mike White. It is the sequel to Pitch Perfect 2
Pitch_Perfect_3
Concept in topology
Gδ-set). (Cantor–Bendixson theorem) If X is Polish then any closed subset of X can be written as the disjoint union of a perfect set and a countable set
Polish_space
Descriptive set theory concept
descriptive set theory, a pointclass is a collection of sets of points, where a point is ordinarily understood to be an element of some perfect Polish space
Pointclass
Japanese manga series
Perfect Addiction (Japanese: パーフェクトアディクション, Hepburn: Pāfekuto Adikushon) is a Japanese manga series written and illustrated by Kaoruko Miyama. It has
Perfect_Addiction
Open set Clopen set Fσ set Gδ set Compact set Relatively compact set Regular open set, regular closed set Connected set Perfect set Meagre set Nowhere
List_of_types_of_sets
Topological subset with no isolated point
the derived set of A {\displaystyle A} . A dense-in-itself closed set is called a perfect set. (In other words, a perfect set is a closed set without isolated
Dense-in-itself
Descriptive set theory Analytic set Analytical hierarchy Borel equivalence relation Infinity-Borel set Lightface analytic game Perfect set property Polish
List_of_set_theory_topics
Musical interval
encompassing four staff positions in the music notation of Western culture, and a perfect fourth (Play) is the fourth spanning five semitones (half steps, or half
Perfect_fourth
Video game franchise
series' fictional universe. The Perfect Dark series debuted in 2000 with the Nintendo 64 first-person shooter Perfect Dark. Set in 2023, the game follows Joanna
Perfect_Dark_(series)
Set of hyperedges where every pair is disjoint
a perfect matching is |V| ⁄2. Given a set V of vertices, a collection E of subsets of V is called balanced if the hypergraph (V,E) admits a perfect fractional
Matching_in_hypergraphs
In the area of abstract algebra known as ring theory, a left perfect ring is a type of ring over which all left modules have projective covers. The right
Perfect_ring
2021 American drama television series
Nine Perfect Strangers is an American drama television series based on the 2018 novel of the same name by Liane Moriarty. Created by David E. Kelley who
Nine Perfect Strangers (TV series)
Nine_Perfect_Strangers_(TV_series)
Complements of perfect graphs are perfect
states: The complement of a perfect graph is perfect. Equivalently, in a perfect graph, the size of the maximum independent set equals the minimum number
Perfect_graph_theorem
1977 song by Cheap Trick
for and said of the song that "it's quick, it's kick ass and it's a perfect set opener." Zaleski rated it as the #8 all-time Cheap Trick song and described
Hello_There
1974 studio album by Minnie Riperton
Perfect Angel is the second studio album by American singer Minnie Riperton, released on May 24, 1974, by Epic Records. The album contains the biggest
Perfect_Angel
Achievement of three consecutive sporting feats
the match ball as a memento. Football has also extended the term, with a perfect hat-trick being when a player scores one right-footed goal, one left-footed
Hat-trick
Topics referred to by the same term
television episode "Perfect Game" (song), by Thompson Twins, 1981 Perfect Game Recording Co., an American record label Golden set, a tennis term Maximum
Perfect_game
Grammatical combination of the present tense and the perfect aspect
The present perfect is a grammatical combination of the present tense and perfect aspect that is used to express a past event that has present consequences
Present_perfect
Integer which is the sum of its positive unitary divisors, not including itself
mathematics Are there infinitely many unitary perfect numbers? More unsolved problems in mathematics A unitary perfect number is an integer which is the sum of
Unitary_perfect_number
2005 live album by Kenny Barron Trio
Live at Bradley's II (subtitled The Perfect Set) is a live album by pianist Kenny Barron recorded in New York in 1996 and first released on the French
Live_at_Bradley's_II
Game where at least one team has no baserunners
In baseball, a perfect game is a game in which one or more pitchers complete a minimum of nine innings with no batter from the opposing team reaching
Perfect_game_(baseball)
English musician (1943–2022)
Christine Anne McVie (/məkˈviː/; née Perfect; 12 July 1943 – 30 November 2022) was an English musician. She was the keyboardist and one of the vocalists
Christine_McVie
Market structure in which firms are price takers for a homogeneous product
equilibrium theory, a perfect market, also known as an atomistic market, is defined by several idealizing conditions, collectively called perfect competition,
Perfect_competition
Robot developed for painting
differs from earlier painting robots because instead of computing the perfect set of strokes and painting once, the robot paints in iterative steps, moving
EDavid_(robot)
2015 film by Elizabeth Banks
Pitch Perfect 2 is a 2015 American musical comedy film directed and produced by Elizabeth Banks and written by Kay Cannon. It is a sequel to the 2012
Pitch_Perfect_2
Word processing application
WordPerfect (WP) is a word processing application, now owned by Corel. At the height of its popularity in the 1980s and early 1990s, it was the market
WordPerfect
union of a perfect set and a scattered set. Every second countable space X can be written in a unique way as the disjoint union of a perfect set and a countable
Scattered_space
American actor (1912–2004)
Frederic Rinaldo. Their first screenplay was for the 1936 short film, The Perfect Set-Up. The short film was the first in the "Crime Does Not Pay" series.
Robert_Lees
2022 baseball game of Japanese professional baseball
as a perfect game). Sasaki tied a NPB single-game record with 19 strikeouts and set an NPB record with 13 consecutive strikeouts. Rōki Sasaki set a Japanese
Roki_Sasaki's_perfect_game
1998 film by Andrew Davis
A Perfect Murder is a 1998 American crime thriller film directed by Andrew Davis and starring Michael Douglas, Gwyneth Paltrow, and Viggo Mortensen. It
A_Perfect_Murder
American television sitcom (1986–1993)
Perfect Strangers is an American sitcom that ran for eight seasons, from March 25, 1986, to August 6, 1993, on the ABC television network. Created by
Perfect_Strangers_(TV_series)
Weak form of the axiom of choice
a non-measurable set of real numbers, or that there is a set of real numbers without the property of Baire or without the perfect set property. This follows
Axiom_of_dependent_choice
Swedish mathematician (1861–1935)
uncountable closed set of reals can be partitioned into a perfect set (the Cantor–Bendixson derivative of the original set) and a countable set. He also gave
Ivar_Otto_Bendixson
Branch of mathematical logic
The perfect set theorem, which states that every uncountable closed subset of a complete separable metric space contains a perfect closed set. Lusin's
Reverse_mathematics
Result in combinatorics and graph theory
large as the number of sets in the subset. The graph theoretic formulation answers whether a finite bipartite graph has a perfect matching—that is, a way
Hall's_marriage_theorem
Euclidean lattice
In mathematics, a perfect lattice (or perfect form) is a lattice in a Euclidean vector space, that is completely determined by the set S of its minimal
Perfect_lattice
1993 crime drama film by Clint Eastwood
A Perfect World is a 1993 American crime thriller film directed by Clint Eastwood. It stars Kevin Costner as an escaped convict who takes a young boy
A_Perfect_World
Cancelled video game
reboot of the Perfect Dark series, the game aimed to revitalize the franchise with modern gameplay mechanics and a new narrative. Set in a near-future
Perfect Dark (cancelled video game)
Perfect_Dark_(cancelled_video_game)
Positive integer that is an integer power of another positive integer
In mathematics, a perfect power is a natural number that is a product of equal natural factors, or, in other words, an integer that can be expressed as
Perfect_power
1986 novel by John le Carré
this book, he introduces the book as The Perfect Spy rather than A Perfect Spy. Modern first editions – a set on Flickr Le Carré, John; Matthew Joseph
A_Perfect_Spy
Subfield of set theory
name determinateness. The games studied in set theory are usually Gale–Stewart games—two-player games of perfect information in which the players make an
Determinacy
Number whose divisors add to a multiple of that number
mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural
Multiply_perfect_number
Descriptive set theory Analytic set Analytical hierarchy Borel equivalence relation Infinity-Borel set Lightface analytic game Perfect set property Polish
List of mathematical logic topics
List_of_mathematical_logic_topics
Sports accomplishment
A perfect season is a sports season, including any requisite playoff portion, in which a team remains and finishes undefeated (and typically, untied)
Perfect_season
Graph where every connected induced subgraph has a universal vertex
theory, a trivially perfect graph is a graph with the property that in each of its induced subgraphs the size of the maximum independent set equals the number
Trivially_perfect_graph
Complete plan on how a game player will behave in every possible game situation
are important in some advanced game theory concepts like trembling hand perfect equilibrium, where the idea is to model players as occasionally making
Strategy_(game_theory)
Set of uniqueness Property of Baire Lebesgue measurable Universally measurable set Perfect set property Universally Baire set Meager set Comeager set
List of properties of sets of reals
List_of_properties_of_sets_of_reals
1994 American TV series or program
romance novel A Perfect Stranger by Danielle Steel. The most important element is the love triangle which characterizes it. The film is set in San Francisco
Danielle Steel's A Perfect Stranger
Danielle_Steel's_A_Perfect_Stranger
Definition of mathematical integration
that every nonempty perfect subset of E contains a portion on which f is absolutely continuous. Let E be a Lebesgue measurable set of reals. Recall that
Khinchin_integral
American drama streaming television miniseries
the series a two out of five-star review, writing: "This should be the perfect set-up for a scabrous look at prejudice, corruption, the trading of sexual
Hollywood_(miniseries)
1997 Bosnia and Herzegovina film
The Perfect Circle (Bosnian: Savršeni krug) is a 1997 Bosnian war drama film by Ademir Kenović set in Sarajevo during the siege of 1992-1996. It was written
The_Perfect_Circle
Gymnastics scoring on 10 point scale, changed in 2006
code of points set by the International Gymnastics Federation (FIG). It is generally recognized that the first person to score a perfect 10 at the Olympic
Perfect_10_(gymnastics)
2022 American romantic comedy film
A Perfect Pairing is a 2022 American romantic comedy film. Stuart McDonald directs the film and Victoria Justice stars as Lola while Adam Demos appears
A_Perfect_Pairing
Short story by J. D. Salinger
"A Perfect Day for Bananafish" is a short story by J. D. Salinger, originally published in the January 31, 1948, issue of The New Yorker. It was anthologized
A_Perfect_Day_for_Bananafish
1970 film by Peter Hall
Perfect Friday is a 1970 British heist comedy film directed by Peter Hall from a screenplay by Anthony Greville-Bell and C. Scott Forbes, and starring
Perfect_Friday
Mathematical group with trivial abelianization
perfect but not simple; the commutator of two elements is [(a,b),(c,d)] = ([a,c],[b,d]). Since commutators in each simple group form a generating set
Perfect_group
2023 American TV series or program
The Perfect 10 is a sports documentary about the 10 Heisman Trophy winners who also got enshrined into the Pro Football Hall of Fame produced by Fox Sports
The_Perfect_10
Solution concept in game theory
games. Any perfect Bayesian equilibrium has two components -- strategies and beliefs: The strategy of a player in a given information set specifies his
Perfect_Bayesian_equilibrium
PERFECT SET
PERFECT SET
Boy/Male
Muslim
Perfect
Girl/Female
Hindu, Indian, Marathi, Tamil, Telugu
Perfect
Boy/Male
Tamil
Perfect
Boy/Male
Tamil
Perfect
Girl/Female
Arabic, Muslim, Pakistani
Perfect
Surname or Lastname
English (Bristol)
English (Bristol) : variant of Parrott 1.
Girl/Female
Indian, Telugu
Perfect
Girl/Female
Tamil
Surasti | ஸà¯à®°à®¸à¯à®¤à¯€
Perfect
Surasti | ஸà¯à®°à®¸à¯à®¤à¯€
Girl/Female
Arabic
Perfect.
Boy/Male
Muslim
Perfect
Girl/Female
Hindu, Indian, Japanese, Kannada, Malayalam, Marathi, Telugu
Perfect
Girl/Female
Hindu
Perfect
Girl/Female
Tamil
Perfect
Boy/Male
Hindu
Perfect
Girl/Female
Spanish
Perfect.
Girl/Female
Tamil
Nicika | நீஸீகா  Â
Perfect
Nicika | நீஸீகா  Â
Boy/Male
French
Perfect.
Surname or Lastname
English
English : variant of Parfitt.
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Perfect
Surname or Lastname
French
French : from a pet form of the personal name P(i)erre, French form of Peter.English (Bristol) : variant of Parrott
PERFECT SET
PERFECT SET
Girl/Female
Australian, Danish, Swedish
Pearl
Girl/Female
Muslim
Inner beauty, Fame, Desired or longed for
Biblical
vision of peace,the habitation of peace,
Boy/Male
Bengali, Indian
Beautiful
Girl/Female
Australian, Spanish
Grace; Favor; Similar to Anna
Girl/Female
Muslim
The innermost essence, Core, Gist
Boy/Male
Biblical
Bird, sparrow, crown, desert.
Surname or Lastname
English
English : variant of Dark.German (Dürk) : variant of Türk ‘Turk’, a nickname for a wild or unruly person, or sometimes for a prisoner of war (from the Turkish Wars).German : possibly a variant of Dirk.
Boy/Male
Tamil
Girl/Female
Indian
Love God's Gift
PERFECT SET
PERFECT SET
PERFECT SET
PERFECT SET
PERFECT SET
a.
Hermaphrodite; having both stamens and pistils; -- said of flower.
a.
Producing mathematically perfect harmony or concord; sweetly or perfectly harmonious.
n.
Failing; fault; imperfection, whether physical or moral; blemish; as, a defect in the ear or eye; a defect in timber or iron; a defect of memory or judgment.
a.
Imperfect.
a.
Perfect.
n.
A Roman officer who controlled or superintended a particular command, charge, department, etc.; as, the prefect of the aqueducts; the prefect of a camp, of a fleet, of the city guard, of provisions; the pretorian prefect, who was commander of the troops guarding the emperor's person.
a.
Perfect.
n.
The perfect tense, or a form in that tense.
a.
Brought to consummation or completeness; completed; not defective nor redundant; having all the properties or qualities requisite to its nature and kind; without flaw, fault, or blemish; without error; mature; whole; pure; sound; right; correct.
n.
One who, or that which, makes perfect.
a.
Well informed; certain; sure.
a.
Not perfect; not complete in all its parts; wanting a part; deective; deficient.
v. t.
To make imperfect.
n.
Execution; performance; realization; operation; as, the law goes into effect in May.
imp. & p. p.
of Perfect
n.
Power to produce results; efficiency; force; importance; account; as, to speak with effect.
a.
Liable to defect; imperfect.
n.
The imperfect tense; or the form of a verb denoting the imperfect tense.
adv.
In a perfect manner or degree; in or to perfection; completely; wholly; throughly; faultlessly.
a.
To make perfect; to finish or complete, so as to leave nothing wanting; to give to anything all that is requisite to its nature and kind.