Timeline for How much of homotopy theory can be done using only finite topological spaces?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Dec 29, 2017 at 17:46 | comment | added | j.c. | The link to the book preprint is currently here math.uchicago.edu/~may/FINITE/FINITEBOOK/… | |
| Jul 30, 2014 at 22:35 | comment | added | Paul Siegel | Thanks for the references! I was a bit worried when I asked that this was going to turn out to be a silly question, so if nothing else your answer lends it some credibility. | |
| Jul 30, 2014 at 21:09 | comment | added | Vidit Nanda | @LeeMosher in particular, one would have to figure out the finite space analogue of contractible descending links. | |
| Jul 30, 2014 at 20:25 | comment | added | Vidit Nanda | @LeeMosher I didn't claim uniqueness! But you're absolutely correct, Bestvina-Brady offer a parallel Morse theory for topological simplicial complexes. I'm not sure what work it would take to port this over to finite spaces. | |
| Jul 30, 2014 at 20:18 | comment | added | Lee Mosher | My understanding is that there is more than one flavor of combinatorial Morse theory in the setting of ordinary (topological) simplicial complexes. The one that I know well is in the work of Bestvina and Brady, "Morse theory and finiteness properties of groups", Invent. Math. 129 (1997), no. 3, 445–470. | |
| Jul 30, 2014 at 20:08 | history | answered | Vidit Nanda | CC BY-SA 3.0 |