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Results tagged with homology
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user 2039
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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Homology is computable because it is stable under suspension
In essence, you have then (togehter with homotopy invariance) exactly the notion of a reduced homology theory. And homology theories are comparatively computable. … It might be quite hard to compute its homology then.
3) even if you have a CW-structure and can compute singular homology of the space, you may not be able to compute other homology theories of it (even …
- 12.1k
4
votes
Easier ways to compute homology/cohomology by adding extra structure
Given a Morse function on a Riemannian smooth manifold, you obtain (under mild conditions) a chain complex computing its homology, the Morse complex. … Milnor's book does not treat Morse homology though. You find some references on the wikipedia page on Morse homology. Another source is the book Morse homology by Schwarz. …
- 12.1k