Timeline for Compact-open topology and Delta-generated spaces
Current License: CC BY-SA 4.0
15 events
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| Jan 8, 2021 at 20:45 | history | became hot network question | |||
| Jan 8, 2021 at 20:44 | history | became hot network question | |||
| Jan 8, 2021 at 13:41 | vote | accept | Philippe Gaucher | ||
| Jan 8, 2021 at 13:40 | history | edited | Philippe Gaucher | CC BY-SA 4.0 |
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| Jan 8, 2021 at 13:39 | answer | added | Tyrone | timeline score: 11 | |
| Jan 8, 2021 at 13:27 | comment | added | Philippe Gaucher | @Tyrone It's the purpose of Mathoverflow. I was completely stuck. Please post it as an answer. Thanks a lot. | |
| Jan 8, 2021 at 13:23 | comment | added | Tyrone | It's Proposition 3.11 in The D-topology for Diffeological spaces. I don't have a proof that $C(I,I)$ is locally path-connected to hand, but that doesn't seem to hard to sort out. If you're happy I'll post an answer. | |
| Jan 8, 2021 at 13:20 | comment | added | Philippe Gaucher | @Tyrone Do you have a reference please ? I will accept that as an answer by the way. | |
| Jan 8, 2021 at 13:19 | history | edited | Philippe Gaucher | CC BY-SA 4.0 |
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| Jan 8, 2021 at 13:19 | comment | added | Tyrone | Every locally path-connected first-countable space is $\Delta$-generated. I learned this from one of Dan Christensen's papers. | |
| Jan 8, 2021 at 13:18 | history | edited | Philippe Gaucher | CC BY-SA 4.0 |
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| Jan 8, 2021 at 13:12 | comment | added | Philippe Gaucher | @Tyrone I don't understand your argument. | |
| Jan 8, 2021 at 13:00 | comment | added | Tyrone | I have a (maybe incorrect) note that say that $C(I,I)$ (compact-open topology) is uniformly locally contractible. In particular it is locally path-connected, so should be $\Delta$-generated since it is first-countable. Feel free to correct me on this. | |
| Jan 8, 2021 at 12:55 | history | edited | YCor | CC BY-SA 4.0 |
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| Jan 8, 2021 at 12:44 | history | asked | Philippe Gaucher | CC BY-SA 4.0 |