Timeline for homotopy type of box topology.
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 3, 2019 at 15:52 | comment | added | Chris Gerig | But are there counterexamples (to being null-homotopic) when connectedness is preserved? | |
| Jan 3, 2019 at 11:56 | comment | added | Sam Gunningham | As mentioned in the linked question in the comments above, (path) connectedness is not preserved by box product. For example, the box topology on $\mathbb{R}^\omega$ is not (path) connected. Thus the answer to your question seems to be no. | |
| Jan 3, 2019 at 5:33 | comment | added | Henno Brandsma | what do you mean by "weakly equivalent to a point"? | |
| Jan 3, 2019 at 0:20 | comment | added | Ofra | @Gro-Tsen As far as I understand, your link is more about point set topology aspects of box topology... | |
| Jan 2, 2019 at 18:09 | comment | added | Gro-Tsen | Related question: mathoverflow.net/questions/209661/… | |
| Jan 2, 2019 at 11:31 | history | asked | Ofra | CC BY-SA 4.0 |