Timeline for Spaces that invert weak homotopy equivalences.
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 28, 2017 at 11:43 | vote | accept | Jeff Strom | ||
| Sep 27, 2017 at 16:21 | answer | added | Jon Barmak | timeline score: 11 | |
| Sep 27, 2017 at 13:15 | comment | added | Jeff Strom | This arxiv.org/abs/1709.08734 came up on the arXiv today. I hope Jonathan Ariel Barmak will post soon and collect his checkmark. | |
| Feb 5, 2014 at 20:20 | comment | added | Lennart Meier | Great! So in particular, singular cohomology is not represented by any $T_1$-space in the homotopy category of spaces. | |
| Nov 23, 2010 at 14:22 | comment | added | Tom Goodwillie | If the space $Y$ is also a $T_1$ space, then its path components are weakly contractible, by choosing $A=S^n$, $n>0$, and $B$ a suitable space with finitely many points. Each of these path components is then contractible, by choosing $A$ to be the path-component and $B$ to be a point. For any two path components there is a sequence in one converging to a point in the other, by choosing $B=${0,1, 1/2, 1/3,...} and $A$ discrete. Thus $Y$ is either connected or empty. Can one take this further and see that then $Y$ is either or contractible or empty? | |
| Nov 23, 2010 at 7:38 | answer | added | Neil Strickland | timeline score: 6 | |
| Nov 23, 2010 at 2:23 | history | edited | Jeff Strom | CC BY-SA 2.5 |
added 249 characters in body
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| Nov 23, 2010 at 2:15 | history | asked | Jeff Strom | CC BY-SA 2.5 |