Timeline for Homology groups of a certain simplicial complex
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 27, 2022 at 22:47 | comment | added | Marcel K. Goh | @AlexLazar Thanks for this reference! I looked through it and I think formalizing my "simplices contract down to points and faces can be counted a certain way" step could be done with discrete Morse theory! I should definitely look into it | |
| Jun 25, 2022 at 13:14 | comment | added | Alex Lazar | Oops, that should be "Forman". | |
| Jun 24, 2022 at 8:05 | comment | added | Alex Lazar | This sort of problem seems like it might be approachable via discrete Morse theory (see, e.g., Foreman's introduction, especially Section 6). The game, more or less, is that you can use certain partial matchings on the faces of your complex to find a smaller complex with the same homotopy type. | |
| Jun 22, 2022 at 2:22 | history | edited | Marcel K. Goh | CC BY-SA 4.0 |
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| Jun 22, 2022 at 0:33 | comment | added | Marcel K. Goh | @MarianoSuárez-Álvarez So far, I have not seen this fact play any importance other than the fact that it causes $S_2$ to be a simplex and that it is different from $1$. But I thought I would mention that it is prime, just because that is what the computer spit out. | |
| Jun 22, 2022 at 0:23 | comment | added | Mariano Suárez-Álvarez | Does the fact that $p$ is prime play any role? | |
| Jun 21, 2022 at 23:29 | history | edited | Marcel K. Goh | CC BY-SA 4.0 |
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| Jun 21, 2022 at 23:23 | history | asked | Marcel K. Goh | CC BY-SA 4.0 |