Timeline for How do facts about the homotopy type of cell complexes shed light on analytic number theory?
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| Aug 7, 2012 at 11:07 | history | edited | user9072 | CC BY-SA 3.0 |
inserted umlauts instead of "o
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| Aug 7, 2012 at 4:04 | comment | added | Patricia Hersh | Good point, though one doesn't have to worry about this when dealing with simplicial complexes or regular CW complexes. I like this reference of Jollenbeck-Welker that you mention -- I've looked at it too. | |
| Aug 7, 2012 at 3:17 | comment | added | Vidit Nanda | n the context of general cell complexes over a coefficient ring R, one should note that discrete Morse theory becomes severely limited: for the simple homotopy equivalence to hold, the discrete Vector field is only allowed to pair adjacent cells $\sigma < \tau$ if the degree of the attaching map from the boundary of $\tau$ onto $\sigma$ is a unit as well as a central element of $R$. This is made clear in the work of Welker etc. here in a purely algebraic setting: www.maths.ed.ac.uk/~aar/papers/jollwelk.pdf | |
| Aug 7, 2012 at 2:44 | history | answered | Patricia Hersh | CC BY-SA 3.0 |