Timeline for Continuous bijection between two homotopy equivalent $\Delta$-generated spaces
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Nov 14, 2020 at 17:15 | vote | accept | Philippe Gaucher | ||
| Nov 14, 2020 at 16:53 | answer | added | user168706 | timeline score: 6 | |
| Nov 14, 2020 at 16:25 | comment | added | Denis Nardin | @TimCampion Ah you're right, I was thinking of compactly generated (which it is, being compact Hausdorff) | |
| Nov 14, 2020 at 15:57 | comment | added | Tim Campion | @DenisNardin Is the Warsaw circle $\Delta$-generated? It seems to me that maps in from an interval shouldn't be able to "see" the interesting part of the topology. | |
| Nov 14, 2020 at 14:56 | comment | added | Denis Nardin | It's easy to construct a counterexample which is a weak homotopy equivalence, where the target space is a Warsaw circle. I don't know if that would be of interest for you | |
| Nov 14, 2020 at 14:35 | history | edited | Philippe Gaucher | CC BY-SA 4.0 |
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| Nov 14, 2020 at 12:38 | history | edited | Philippe Gaucher | CC BY-SA 4.0 |
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| Nov 14, 2020 at 12:36 | comment | added | Philippe Gaucher | @DavidRoberts You are absolutely right ! I had not realized that either. I'm going to modify my question. | |
| Nov 14, 2020 at 12:12 | comment | added | David Roberts♦ | Ah, so his example is not applicable then? | |
| Nov 14, 2020 at 11:08 | comment | added | Philippe Gaucher | @DavidRoberts In fact in my situation, the continuous bijection is also a homotopy equivalence. I realized that by reading Gabriel's answer. | |
| Nov 14, 2020 at 10:20 | comment | added | David Roberts♦ | Is the given bijection part of a homotopy equivalence or are they unrelated? | |
| Nov 14, 2020 at 9:39 | vote | accept | Philippe Gaucher | ||
| Nov 14, 2020 at 12:36 | |||||
| Nov 14, 2020 at 9:29 | vote | accept | Philippe Gaucher | ||
| Nov 14, 2020 at 9:38 | |||||
| Nov 14, 2020 at 8:59 | answer | added | Gabriel C. Drummond-Cole | timeline score: 1 | |
| Nov 14, 2020 at 3:56 | history | asked | Philippe Gaucher | CC BY-SA 4.0 |