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Results tagged with cohomology
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user 4760
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, ...
9
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Why torsion is important in (co)homology ?
And of course the cohomology of the manifolds need to have some torsion in order to make this work. …
16
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1
answer
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Is it true that all real projective space $RP^n$ can not be smoothly embedded in $R^{n+1}$ f...
So first for n even, $RP^n$ is not orientable, hence can not be embedded in $\mathbb{R}^{n+1}$.
For odd n, $RP^{n}$ is orientable, hence the normal bundle is trivial. Now using stiefel-Whitney classe …
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