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Results tagged with homology
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user 16702
Homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.
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Take contraction wrt a vector field twice and define kernel mod image. Does that give anythi...
considers operators of the form $\sigma d + \alpha$ for a one-form $\alpha$ and a coefficient $\sigma$ with only non-degenerate critical points and shows that for $\sigma \rightarrow 0$, one gets the Morse Homology … of a manifold: The Homology of the Complex at level $k$ is $n_k$-dimensional, where $n_k$ is the number of critical points of index $k$. …
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