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There is a page named "Homology with local coefficients" on Wikipedia
- cohomology with coefficients in a fixed abelian group A, and general sheaf cohomology in which coefficients vary from point to point. Local coefficient systems...14 KB (2,671 words) - 02:38, 20 April 2024
- Sheaf (mathematics) (category Articles with short description)first defined cochains. 1943 Norman Steenrod publishes on homology with local coefficients. 1945 Jean Leray publishes work carried out as a prisoner of...68 KB (10,956 words) - 07:22, 21 August 2024
- cohomology or (in the case of real coefficients) De Rham cohomology. One of the ideas that led to the development of homology was the observation that certain...54 KB (8,218 words) - 14:50, 22 August 2024
- Cohomology (redirect from Extraordinary homology theory)specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological...43 KB (6,691 words) - 21:02, 23 March 2024
- Norman Steenrod (category Articles with short description)Steenrod algebra Steenrod homology Steenrod operations Steenrod problem Steenrod, Norman E. (1943). "Homology with local coefficients". Annals of Mathematics...6 KB (523 words) - 23:41, 15 May 2024
- In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well-suited for the study of singular spaces...15 KB (2,760 words) - 19:19, 27 October 2022
- Cartan & Eilenberg (1956) defined the Hochschild homology and cohomology group of A with coefficients in M in terms of the Tor functor and Ext functor...20 KB (3,394 words) - 10:15, 8 November 2023
- cyclic homology and cyclic cohomology are certain (co)homology theories for associative algebras which generalize the de Rham (co)homology of manifolds...11 KB (1,544 words) - 14:31, 29 May 2024
- Group cohomology (redirect from Group homology)G1 and G2, the homology of the amalgamated product G := G 1 ⋆ A G 2 {\displaystyle G:=G_{1}\star _{A}G_{2}} (with integer coefficients) lies in a long...51 KB (9,805 words) - 12:43, 5 June 2024
- the point of view of homology theory. A homology G-manifold (without boundary) of dimension n over an abelian group G of coefficients is a locally compact...2 KB (253 words) - 09:35, 23 November 2023
- Timeline of manifolds (category Articles with short description)manifolds; topological manifolds. There are also related classes, such as homology manifolds and orbifolds, that resemble manifolds. It took a generation...43 KB (1,178 words) - 12:09, 12 December 2023
- Localization of a topological space (redirect from Local space)simply connected CW complex Y together with a map from X to Y such that Y is A-local; this means that all its homology groups are modules over A The map from...2 KB (320 words) - 03:01, 18 March 2024
- Normal invariant (category Articles with short description){\displaystyle f} induces an isomorphism of fundamental groups and use homology with local coefficients in Z [ π 1 ( X ) ] {\displaystyle Z[\pi _{1}(X)]} .) By Whitehead's...14 KB (2,386 words) - 02:12, 2 February 2023
- Orientability (category Articles with short description)Formulations applicable to general topological manifolds often employ methods of homology theory, whereas for differentiable manifolds more structure is present...25 KB (3,515 words) - 01:43, 10 August 2024
- Alexander duality (category Articles with short description)~ {\displaystyle {\tilde {H}}} stands for reduced homology or reduced cohomology, with coefficients in a given abelian group, there is an isomorphism...9 KB (1,429 words) - 13:55, 3 July 2024
- Barratt–Priddy theorem (category Articles with short description){\displaystyle \varphi } induces an isomorphism on all homology groups with any local coefficient system. The Barratt–Priddy theorem implies that the space...9 KB (1,434 words) - 07:04, 6 August 2023
- Poincaré duality (category Homology theory)fH_{i}M=H_{i}M/\tau H_{i}M} be the free part – all homology groups taken with integer coefficients in this section. Then there are bilinear maps which...17 KB (2,694 words) - 11:19, 3 December 2023
- Mayer–Vietoris sequence (category Homology theory)sequence in singular homology for the triad (X, A, B) is a long exact sequence relating the singular homology groups (with coefficient group the integers...26 KB (3,768 words) - 02:49, 19 August 2024
- Sheaf cohomology (category Articles with short description)cohomology groups of X with coefficients in an abelian group A are isomorphic to sheaf cohomology with constant coefficients, H*(X,AX). For example,...36 KB (5,832 words) - 15:01, 25 July 2024
- Morava K-theory (category Articles with short description)agrees with singular homology with rational coefficients, whereas K(1) is a summand of mod-p complex K-theory. The theory K(n) has coefficient ring Fp[vn...3 KB (406 words) - 18:26, 29 March 2024
- either case the analytical processes are identical. The analogies or homologies of these three sets of phenomena are complete throughout, and those of
- ATPases.Based on the transport mechanism as well as genetic and structural homology, These ATP-dependent ion pumps can be classified into four types: P-type