Timeline for Mapping space from a quotient space
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 9, 2017 at 15:56 | vote | accept | Victor | ||
| Jul 9, 2017 at 14:57 | answer | added | Wlod AA | timeline score: 3 | |
| Jul 9, 2017 at 8:35 | answer | added | Taras Banakh | timeline score: 6 | |
| Jul 9, 2017 at 8:21 | comment | added | Taras Banakh | My previous "counterexample" is incorrect. The converse in true. Namely, the second related question has affirmative answer if $X$ is sequential and $X/\sim$ is a convergent sequence, see Lemma 3.5 in [S.Lin, P.Yan, Sequence-covering maps of metric spaces, Topology Appl. 109 (2001) 301-314]. | |
| Jul 9, 2017 at 7:58 | comment | added | Taras Banakh | The second related question has negative answer: just consider the subspace $X=\{(x,y)\in [0,1]\times\mathbb R:x=0$ or $xy=1\}$ of the plane and let $q:X\to [0,1]$ we the projection onto the first coordinate. This map is quotient, but not compact-covering. | |
| Jul 9, 2017 at 1:02 | history | edited | Victor | CC BY-SA 3.0 |
added 162 characters in body
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| Jul 9, 2017 at 0:20 | history | asked | Victor | CC BY-SA 3.0 |