Timeline for Countable connected space where removing $1$ point destroys connectedness
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 30, 2018 at 17:32 | comment | added | მამუკა ჯიბლაძე | I was responding to a comment that is no longer there. In any proper connected subspace of your example there are points $k$ such that either $k+1$ or $k-1$ does not belong to the subspace. It is natural (I think) to call these endpoints. If one removes such point from the subspace, what remains will be connected. | |
| Dec 30, 2018 at 17:28 | comment | added | user49822 | @მამუკაჯიბლაძე what endpoint? | |
| Dec 27, 2018 at 9:55 | comment | added | user49822 | @მამუკაჯიბლაძე Indeed | |
| Dec 25, 2018 at 18:47 | comment | added | მამუკა ჯიბლაძე | In other words it is the Alexandroff topology for the partial order$$\cdots<a_{-3}>a_{-2}<a_{-1}>a_0<a_1>a_2<a_3>\cdots,$$right? | |
| Dec 25, 2018 at 17:10 | vote | accept | Dominic van der Zypen | ||
| Dec 25, 2018 at 10:38 | history | answered | user49822 | CC BY-SA 4.0 |