Timeline for Criteria for a poset complex to be contractible
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| May 14, 2020 at 21:40 | comment | added | Tri | Baclawski and Bjorner, "Fixed Points in Partially Ordered Sets," Advances in Mathematics 31 (1979) contains related results on page 271. | |
| Mar 1, 2019 at 20:24 | comment | added | Sam Hopkins | whoops, above I of course mean "minimum or maximum" (or "unique minimal or unique maximal element") | |
| Feb 27, 2019 at 17:10 | history | edited | María | CC BY-SA 4.0 |
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| Feb 27, 2019 at 16:53 | comment | added | Benjamin Steinberg | Actually, a simplicial complex must be a flag complex for all induced subcomplexes to be contractible. Otherwise, you have a clique in the 1-skeleton which is not the boundary of a simplex and that induced subgraph is not contractible. | |
| Feb 27, 2019 at 16:48 | comment | added | Benjamin Steinberg | There are lots of results that are useful, like Quillen's theorem A. Bjorner's handbook chapter on poset topology is also quite useful. Note that for a flag complex, chordal is equivalent to all INDUCED subcomplexes being contractible, not arbitrary ones. | |
| Feb 27, 2019 at 16:22 | comment | added | Sam Hopkins | Glib answer: it's contractible if the poset has a minimal or maximal element :) | |
| Feb 27, 2019 at 16:15 | review | First posts | |||
| Feb 27, 2019 at 16:34 | |||||
| Feb 27, 2019 at 16:12 | history | asked | María | CC BY-SA 4.0 |