Timeline for Limiting halves of a connected space
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 31, 2018 at 20:09 | history | edited | MTyson | CC BY-SA 3.0 |
added 53 characters in body
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| Jan 31, 2018 at 20:05 | comment | added | MTyson | @David Thank you for the correction. I didn't know that. | |
| Jan 31, 2018 at 19:39 | comment | added | D.S. Lipham | "Since $X$ is connected, there is a point $y$ in $\partial U\cap V$". This is false in general because there are strange connected sets like Cantor's Leaky Tent where the component of a point in an open set can be just the single point (there are even more horrible examples where the $\textit{quasi}$-components of certain open sets are single points). However, Your argument does work if $X$ is continuum-wise connected, so you proved Taras Banakh's comment above. 1 upvote for that! | |
| Jan 31, 2018 at 19:19 | history | answered | MTyson | CC BY-SA 3.0 |