Timeline for Direct limit of complexes from cocycle property up to homotopy
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 13, 2018 at 16:27 | comment | added | Phil Tosteson | Homotopic maps induce the same map on homology, therefore after passing to homology you just have an ordinary diagram indexed by $I$. Take the limit of this diagram. | |
| Aug 13, 2018 at 14:12 | comment | added | BrianT | Thanks for your comment. Could you extend your argument please ? I'm not very familiar with these things. | |
| Aug 13, 2018 at 13:52 | comment | added | Phil Tosteson | Yes, in the sense that these maps induce a direct system on homology that you can take the colimit of. | |
| Aug 13, 2018 at 10:31 | history | asked | BrianT | CC BY-SA 4.0 |