Group cohomology
Group cohomology In abstract algebra, homological algebra, algebraic topology ... theory, as well as in applications to group theory proper, group cohomology is a way to study groups ...
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Talk:Group cohomology
Talk:Group cohomology In the column "Formal construction", is there ...
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Cohomology
Cohomology In mathematics, specifically in algebraic topology, cohomology is a general term for a sequence ... defined from a cochain complex. That is, cohomology is defined as the abstract study of cochains, cocycles and coboundaries. Cohomology can be viewed as a method of ... more refined algebraic structure than does homology. Cohomology arises from the algebraic dualization of ...
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Galois cohomology
Galois cohomology In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application ... to modules for Galois groups. A Galois group G associated to a field extension ...
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Étale cohomology
Étale cohomology In mathematics, the étale cohomology theory of algebraic geometry is a refined ... remaining conjectures awaited the development of étale cohomology. This theory is an example of a Weil cohomology theory in algebraic geometry, and as such ... been found. The formal definition of étale cohomology is as the derived functor of ...
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Durham cohomology   (translated from Chinese)
Durham cohomology mathematics ,De Rham cohomology (cohomology)Is also belongsAlgebra analysis situsWith differential analysis ... significance antithesis inStrange coherenceAs well asAlexander-Spanier cohomology. Table of contents Definition Any smooth manifoldMOn ... differentialK- The manifold forms under the additionCommutative group(Also is in fact reality vector ...
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Equivariant cohomology
Equivariant cohomology In mathematics, equivariant cohomology is a theory from algebraic topology which applies to spaces with a group action. It can be viewed as a common generalization of group cohomology and an ordinary cohomology theory. Specifically, ...
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Sheaf cohomology
Sheaf cohomology In mathematics, sheaf cohomology is the aspect of sheaf theory, concerned ... 1950, when it was realised that sheaf cohomology was connected with more classical methods applied ... theory. Definitions The first version of sheaf cohomology to be defined was that based on Čech cohomology, in which the relatively small change ...
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Orthogonal group
Orthogonal group In mathematics, the orthogonal group of degree n over a field F ... written as O(n,F)) is the group of n-by-n orthogonal matrices with entries from F, with the group operation that of matrix multiplication. This is a subgroup of the general linear group GL(n,F). More generally the ...
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Local cohomology
Local cohomology In mathematics, local cohomology is a chapter of homological algebra and ... derived functors of Γ Y form local cohomology groups H Y i (X,F) There ... is a long exact sequence of sheaf cohomology linking the ordinary sheaf cohomology of X and of the open ...
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