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Results tagged with cohomology
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user 343
A branch of algebraic topology concerning the study of cocycles and coboundaries. It is in some sense a dual theory to homology theory. This tag can be further specialized by using it in conjunction with the tags group-cohomology, etale-cohomology, sheaf-cohomology, galois-cohomology, lie-algebra-cohomology, motivic-cohomology, equivariant-cohomology, ...
17
votes
Intuition for Group Cohomology
I'm not sure if this is what you're looking for, but I always think of group (co)homology in terms of the homology of the classifying space for your group. Assuming $G$ is discrete, then there is a to …
- 1,422
8
votes
4
answers
583
views
Examples of the varying strengths of topological invariants
The examples I'm wondering about are
Same homology groups
Same cohomology groups, but different cohomology rings
Same cohomology rings (but maybe different Steenrod operations?) …