In mathematics, Brown's representability theorem in homotopy theory gives necessary and sufficient conditions for a contravariant functor F on the homotopy...
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Representability in mathematics can refer to the existence of a representable functor in category theory Birch's theorem about the representability of...
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Homotopy theory (section Key theorems)
universal bundle) along a map X → B G {\displaystyle X\to BG} . Brown's representability theorem guarantees the existence of classifying spaces. The idea that...
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Smash product Adjunction space Cohomotopy Cohomotopy group Brown's representability theorem Eilenberg–MacLane space Fibre bundle Möbius strip Line bundle...
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mathematics including: Brown's representability theorem Brown–Peterson cohomology Brown–Gitler spectrum His publications include: Brown, Edgar H. Jr. (1959)...
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contravariant functor from C to Set. Brown's representability theorem in algebraic topology says that this functor is represented by a CW-complex K(Z,n) called...
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Browder–Minty theorem (operator theory) Brown's representability theorem (homotopy theory) Bruck–Chowla–Ryser theorem (combinatorics) Brun's theorem (number...
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object representing a generalized cohomology theory. Every such cohomology theory is representable, as follows from Brown's representability theorem. This...
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homotopy category of CW complexes, existence theorems for universal bundles arise from Brown's representability theorem. We will first prove: Proposition. Let...
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Classifying space (category Representable functors)
conditions being known for this (Brown's representability theorem) ensure that the result, as an existence theorem, is affirmative and not too difficult...
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{\displaystyle K(\mathbb {Z} ,2)} . Because of this fact, and Brown's representability theorem, we have the following isomorphism H 2 ( X ; Z ) ≅ [ X , C...
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Seifert–Van Kampen theorem of algebraic topology (named after Herbert Seifert and Egbert van Kampen), sometimes just called Van Kampen's theorem, expresses the...
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spectrum S 0 {\displaystyle S^{0}} . Amnon Neeman generalized the Brown representability theorem to any compactly generated triangulated category, as follows...
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result is that the representable functors on the homotopy category have a simple characterisation (the Brown representability theorem). Abstract cell complex...
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Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with...
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Lagrange's four-square theorem, also known as Bachet's conjecture, states that every natural number can be represented as a sum of four non-negative integer...
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mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer...
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commonly written as ln(x) or loge(x). In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among...
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is Brauer's theorem on induced characters. In mathematics, Brauer's theorem, named for Richard Brauer, is a result on the representability of 0 by forms...
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In additive number theory, Fermat's theorem on sums of two squares states that an odd prime p can be expressed as: p = x 2 + y 2 , {\displaystyle p=x^{2}+y^{2}...
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The Zero Theorem is a 2013 science fiction film directed by Terry Gilliam, starring Christoph Waltz, David Thewlis, Mélanie Thierry and Lucas Hedges....
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find an integer solution to an equation by using the Chinese remainder theorem to piece together solutions modulo powers of each different prime number...
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In mathematics, the Radon–Nikodym theorem is a result in measure theory that expresses the relationship between two measures defined on the same measurable...
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Classifying space, for the case n = 1 {\displaystyle n=1} Brown representability theorem, regarding representation spaces Moore space, the homology analogue...
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In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Rowan Hamilton) states that every square matrix...
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Nash equilibrium (redirect from Nash theorem (in game theory))
Kakutani fixed-point theorem in his 1950 paper to prove existence of equilibria. His 1951 paper used the simpler Brouwer fixed-point theorem for the same purpose...
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2020-08-19. Brown 1991, Definition III.2.1 Brown 1991, Theorem III.2.12 Brown 1991, Corollary III.2.16 Mirsky 1990, Theorem 1.4.1 Brown 1991, Theorem III.3...
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mathematics, Belyi's theorem on algebraic curves states that any non-singular algebraic curve C, defined by algebraic number coefficients, represents a compact Riemann...
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impossibility theorem is what often comes to mind when one thinks about impossibility theorems in voting. There are several famous theorems concerning social...
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Brown 1991, Definition III.2.1 Brown 1991, Theorem III.2.12 Brown 1991, Corollary III.2.16 Mirsky 1990, Theorem 1.4.1 Brown 1991, Theorem III.3.18 Eigen means "own"...
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