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Results tagged with at.algebraic-topology
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user 47757
Homotopy theory, homological algebra, algebraic treatments of manifolds.
9
votes
1
answer
886
views
A description of cellular boundary maps in terms of a Morse function
I'm writing a paper on classical Morse Theory and I'm interested in applying Morse functions to the computation of homology groups of a compact manifold $M$. The standard way in which this is done is …
- 319
6
votes
1
answer
470
views
Universal covering and double cover functors
Initially posted on MSE
Let $\mathsf{CW}$ be the category of CW-complexes and $\mathsf{CW}_*$ that of pointed CW-complexes (possibly disconnected, one basepoint in each component). I would like to kn …
- 319
2
votes
1
answer
176
views
A self-homeomorphism of $L_{p,q}$ is isotopic to one which preserves heegaard splitting
Consider the lens space $L_{p,q}$, which we can describe using its standard heegaard splitting, i.e. define $L_{p,q}$ as a quotient of two solid tori, identifying meridians on the boundary of one with …
- 319