Timeline for Homology equivalence and isomorphism on $\pi_1$ not enough for homotopy equivalence?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Feb 15, 2015 at 9:19 | history | suggested | user67126 | CC BY-SA 3.0 |
first attempt wasn't correct
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| Feb 15, 2015 at 7:30 | comment | added | Achim Krause | This is a fibration with fiber $K(\mathbb{Z}[\frac{1}{2}],2)$. Running the homology Serre spectral sequence, I think we get nontrivial entries $\mathbb{Z}[\frac{1}{2}]$ in $E^2_{0,4k}$ (since $\pi_1(B)$ alternatingly acts by a sign or trivially on the cohomology groups of the fiber). So I think this doesn't work out as intended.. | |
| Feb 15, 2015 at 7:22 | comment | added | Qiaochu Yuan | That's a little terse. Can you elaborate on why this map induces an isomorphism on homology? | |
| Feb 15, 2015 at 7:22 | review | Low quality posts | |||
| Feb 15, 2015 at 12:47 | |||||
| Feb 15, 2015 at 7:18 | review | Suggested edits | |||
| S Feb 15, 2015 at 9:19 | |||||
| Feb 15, 2015 at 7:11 | review | First posts | |||
| Feb 15, 2015 at 9:03 | |||||
| Feb 15, 2015 at 7:06 | history | answered | Anders And | CC BY-SA 3.0 |