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Results tagged with simplicial-complexes
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user 168142
7
votes
4
answers
996
views
Amending flawed "proof" that homology groups are zero
I am trying to prove a certain statement that seems true based on computational data, and there is a nice argument that proves it, assuming all cycles are the simplest ones (e.g., when the only 1-cycl …
- 411
1
vote
Amending flawed "proof" that homology groups are zero
Following Andy Putman's suggestion that we use the nerve complex, I believe I have found an inductive proof that $H_1(X_n) = 0$ for all $n$. Please point out errors if you see any!
Let $X_n$ denote th …
- 807
3
votes
0
answers
130
views
Homology groups of a certain simplicial complex
I've run across a simplicial complex which, according to Sage, seems to have a very easily-described homology. However, proving this fact has been rather difficult.
Fix $s\ge 2$ (though I would be ver …
- 807