Timeline for How do I show that any finite-dimensional (absolute) CW-complex $X$ is locally contractible?
Current License: CC BY-SA 4.0
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| Nov 10, 2020 at 19:34 | comment | added | HenrikRüping | Many such questions boil down to the following trick. Problem: Given an open subset of the $n$-skeleton. Can we construct an open subset of the $n+1$-skeleton such that the intersection with the $n$-skeleton is the given set? So we choose attaching pushouts and we leave out the midpoints of the $n+1$- cells. Then we have a retraction of the $n+1$-skeleton without the midpoints to the $n$-skeleton. Now we can take the preimage of the given set. | |
| Nov 10, 2020 at 15:25 | review | Close votes | |||
| Nov 17, 2020 at 14:37 | |||||
| Nov 10, 2020 at 9:46 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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| Nov 10, 2020 at 9:44 | answer | added | Francesco Polizzi | timeline score: 4 | |
| Nov 10, 2020 at 9:40 | review | First posts | |||
| Nov 10, 2020 at 12:15 | |||||
| Nov 10, 2020 at 9:36 | history | asked | Christiaan | CC BY-SA 4.0 |