Timeline for What information can one recover from the induced map on homology?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 12, 2012 at 6:10 | comment | added | Mark Grant | One comment: since the matrices of $f_\ast$ and $\phi_\ast$ are similar, one can ask the same question without introducing $S_X$. (Probably one should then assume $H_\ast(X)$ is finitely generated in each degree.) | |
| Jun 11, 2012 at 18:55 | comment | added | Vidit Nanda | Done! See the update in the question... | |
| Jun 11, 2012 at 18:54 | history | edited | Vidit Nanda | CC BY-SA 3.0 |
Clarified the construction of simplicial representative
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| Jun 11, 2012 at 18:01 | comment | added | some guy on the street | Hoping to clarify, in what sense is $X$ unknown, and in what sense is $S_X$ a "representation" of $X$? Do you mean that the only known connection is the given isomorphism $H(S) \simeq H(X)$? Is $|S_X|$ weak homotopy equivalent to $X$? Does the isomorphism work for all (constant) coefficients or only your-favourite-ring? | |
| Jun 11, 2012 at 15:35 | answer | added | Pierre Dehornoy | timeline score: 2 | |
| Jun 11, 2012 at 6:36 | history | asked | Vidit Nanda | CC BY-SA 3.0 |