Timeline for Analogue of singularity theory in other categories
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3 events
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| Jul 20, 2013 at 21:28 | comment | added | Vidit Nanda | @AndrásSzűcs I don't think anyone has systematically studied "PL Cerf theory": in general I don't see why homotopies $F_t: K \to \mathbb{R}$ of locally affine maps should be locally affine for almost all $t$ unless you are careful. There is some progress in corresponding questions for discrete Morse theory (i.e., Forman's rather than Bestvina's) which you can find in my MO answer to Daniel Moskovich's question here: mathoverflow.net/a/105469/18263 | |
| Jul 20, 2013 at 20:28 | comment | added | András Szűcs | Thanks, clear. Can one also define analogues of birth death singularites? (As the non-Morse singularities in typical one parameter families.) And then also the higher singularities as well? | |
| Jul 20, 2013 at 15:10 | history | answered | Vidit Nanda | CC BY-SA 3.0 |