Timeline for Shrinkable homogeneous compact and connected $T_2$-space
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 29, 2023 at 22:38 | vote | accept | Dominic van der Zypen | ||
| Nov 29, 2023 at 16:47 | answer | added | Alessandro Codenotti | timeline score: 2 | |
| Nov 17, 2020 at 18:49 | comment | added | Dominic van der Zypen | Can anyone - maybe @YCor, the first with an example - put an answer to this thread so we can close it? | |
| Nov 17, 2020 at 13:56 | comment | added | Alessandro Codenotti | $[0,1]^\Bbb N$ also works, since it is (perhaps surprisingly) homogeneous | |
| Nov 17, 2020 at 12:29 | comment | added | YCor | @WlodAA The pseudoarc makes the job. | |
| Nov 17, 2020 at 11:38 | comment | added | Wlod AA | After @YCor, now we can ask about finite-dimensional shrinkable homogeneous Hausdorff continua, if there is any. | |
| Nov 17, 2020 at 11:06 | comment | added | YCor | The product $S^\mathbf{N}$, where $S$ is the circle. | |
| Nov 17, 2020 at 11:04 | history | edited | YCor | CC BY-SA 4.0 |
edited tags
|
| Nov 17, 2020 at 8:32 | comment | added | Adam Chalumeau | Just a remark: such a space can't have a open subset homeomorphic to $\mathbf{R}^n$. This would mean by homogeneity that it is a topological $n$-manifold. However compact connected topological manifold can't be homeomorphic to a proper subsbspace by Poincare-Lefschetz Duality (see Bredon corollary 8.4). | |
| Nov 17, 2020 at 7:51 | history | asked | Dominic van der Zypen | CC BY-SA 4.0 |