Timeline for One-dimensional topological spaces
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2016 at 0:13 | comment | added | Noah Schweber | @AntonPetrunin I feel like that should really be a separate (and accepted!) answer - it's much better than mine. | |
| Nov 18, 2016 at 0:03 | comment | added | Anton Petrunin | @Didi Attach a $[0,\tfrac1q]$ interval to each rational point $\tfrac pq$ in $[0,1]$. You get a compact metric space $K$. The set $[0,1]\subset K$ is connected, and has empty interior. | |
| Nov 17, 2016 at 23:53 | vote | accept | Didi | ||
| Nov 17, 2016 at 23:53 | comment | added | Didi | @NoahSchweber Do you think that it is true for metric space? I would like it were true for compact metric spaces. | |
| Nov 17, 2016 at 23:16 | comment | added | Georg Lehner | I misread thinking you meant the line with doubled origin. My bad. | |
| Nov 17, 2016 at 23:13 | comment | added | Noah Schweber | @georglehner no, it's indiscrete - every open containing 0 contains a and vice versa. | |
| Nov 17, 2016 at 22:35 | history | answered | Noah Schweber | CC BY-SA 3.0 |