Timeline for Can one do without a classifying space when showing vanishing of cohomology
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Feb 14, 2012 at 10:01 | history | edited | Mark Grant | CC BY-SA 3.0 |
added application
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| Feb 1, 2012 at 10:00 | comment | added | Mark Grant | @Chris: Good point. However, having the $A$ cohomology of a point does not necessarily imply acyclic, eg $Y$ could be a mod $p$ Moore space and $A=\mathbb{Q}$. So maybe there are useful cases of this type. | |
| Feb 1, 2012 at 8:58 | comment | added | Chris Gerig | To fit the OP's hypothesis, the extreme case must assume that Y is not simply-connected (since simply-connected acyclic CW-complexes are contractible). | |
| Feb 1, 2012 at 8:08 | history | answered | Mark Grant | CC BY-SA 3.0 |