Chain complex
Chain complex In mathematics, a chain complex is a construct originally used in the ... an algebraic construction such as a simplicial complex. More generally, homological algebra includes the study ... apply their homology groups (cohomology groups for cochain complexes); in more abstract settings various equivalence ... abelian categories, also. Formal definition A chain complex $(A\_\backslash bullet,\; d\_\backslash bullet)$ ...
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De Rham complex
De Rham complex In mathematics, the de Rham complex is the cochain complex of exterior differential forms on some smooth ...
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List of mathematics articles (A-C)
... Abstract polytope -- Abstract semantic graph -- Abstract simplicial complex -- Abstract structure -- Abstraction (mathematics) -- Abundant number -- Abuse ... Allan variance -- Alligation -- Almost -- Almost all -- Almost complex manifold -- Almost complex structure -- Almost convergent sequence -- Almost disjoint sets ... theorem -- Chain (algebraic topology) -- Chain complete -- Chain complex -- Chain (mathematics) -- Chain rule -- Chaitin–Kolmogorov randomness -- Chaitin ... theorem -- Coaxial -- Cobordism -- Cobordism theorem -- Cobweb plot -- Cochain complex -- Cochleoid -- Cochran-Armitage test for ...
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List of mathematics articles (C)
... theorem -- Chain (algebraic topology) -- Chain complete -- Chain complex -- Chain (mathematics) -- Chain rule -- Chaitin–Kolmogorov randomness -- Chaitin ... theorem -- Coaxial -- Cobordism -- Cobordism theorem -- Cobweb plot -- Cochain complex -- Cochleoid -- Cochran-Armitage test for trend -- Cochran ... order theory) -- Completeness (statistics) -- Completing the square -- Complex analysis -- Complex conjugate -- Complex conjugate representation -- Complex conjugate ...
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User:Salix alba/maths/maths redirect frequency
... Excircle -> Incircle_and_excircles_of_a_triangle - 8 Cyclic polygon -> Circumcircle - 8 Cochain complex -> Chain complex - 8 Closed map -> Open and closed maps ... Shannon capacity -> Shannon–Hartley theorem - 7 S-plane -> Complex plane - 7 Rencontres numbers -> Rencontres number - 7 ... Anticommutative -> Anticommutativity - 7 Ana -> ANA - 7 Almost complex structure -> Almost complex manifold - 7 Algebra ...
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Reduced homology
... More generally if X is a simplicial complex or finite CW complex, then the group H 0 (X) is ... is to go back to the chain complex defining homology, and tweak the C 0 ... groups as usual, with the modified chain complex. Armed with this modified complex, the standard ways to obtain homology ...
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Kong Shangren   (translated from Chinese)
... calculusCausedContactThis geometry concept is separated. Through a complex of lines reverse A tension field promotion ... one circuitous way to define. Shuts the cochain and the chain rule (Cocycles and chain ... take the chain rule 1-Shuts the cochain. This gave has cut the uniformity with ... tensors vector clumps have correspondingly shut the cochain, may from the tensor structureFunctionalThe attribute with ... kind under the coordinate transformation which the cochain expresses from Qia. The tensor-density ...
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Cohomology
... sequence of abelian groups defined from a cochain complex. That is, cohomology is defined as the ... direction of the arrows in a chain complex is not much more than a sign ... Alexander had by 1930 defined a first cochain notion, based on a p-cochain on a space X having relevance ...
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Čech cohomology
... ith open set. We now define the cochain groups for this cohomology. Let F be ... By taking the cohomology of the chain complex formed we have the Čech cohomology of ... X is homotopy equivalent to a CW complex, then $\backslash check\{H\}^*(X;A)$
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De Rham cohomology
... along with the exterior derivative are a cochain complex, the de Rham complex: $C^\backslash infty(M)\; =\; \backslash Omega^0(M\; ...$
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