Timeline for Small simplicial complexes with torsion in their homology?
Current License: CC BY-SA 3.0
6 events
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| Apr 2, 2022 at 17:58 | comment | added | Matthew Kahle | Newman answers this question as well. His paper actually shows that every finite abelian group $G$ is the torsion subgroup of homology $H_{d-1}(K)$ for a simplicial complex $K$ on $n$ vertices, where $n = O \left(log^{1/d} |G| \right)$. | |
| Apr 1, 2022 at 17:55 | comment | added | Ryan Budney | That's interesting. I suppose the next step in this parametrized complexity ladder would be to ask how big your complex needs to be to get $p^k$-torsion in $H_n$. | |
| Jul 31, 2017 at 21:51 | history | edited | Matthew Kahle | CC BY-SA 3.0 |
Added missing comma
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| Jul 31, 2017 at 17:14 | history | edited | Matthew Kahle | CC BY-SA 3.0 |
corrected typo
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| Jul 31, 2017 at 16:03 | history | edited | Matthew Kahle | CC BY-SA 3.0 |
fixed broken link
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| Jul 31, 2017 at 15:41 | history | answered | Matthew Kahle | CC BY-SA 3.0 |