Timeline for open subsets of boundary [closed]
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 29, 2014 at 12:16 | comment | added | Pietro Majer | indeed, sorry (it is true that the relative closure is always $\bar W\cap Y$ for $W\subset Y$ ) | |
| Jun 29, 2014 at 5:54 | history | closed |
Pietro Majer Stefan Kohl♦ Misha Steven Sam Stefan Geschke |
Not suitable for this site | |
| Jun 28, 2014 at 13:59 | answer | added | Emil Jeřábek | timeline score: 2 | |
| Jun 28, 2014 at 11:59 | comment | added | Emil Jeřábek | @PietroMajer: Let $[0,1]$ be the ambient space, $W=[0,1)$, and $Y=\{0,1\}$. The property you are recalling generally holds only if $Y$ is open, which it here isn’t (assuming you meant to apply it to $Y=\nu X$). | |
| Jun 28, 2014 at 8:33 | review | Close votes | |||
| Jun 29, 2014 at 5:54 | |||||
| Jun 28, 2014 at 8:13 | comment | added | Pietro Majer | Yes, for any topological space, and for any subspace of it. Recall that the closure of $W\cap Y$ relative to $Y$ is $\bar W \cap Y$. | |
| Jun 28, 2014 at 7:31 | review | First posts | |||
| Jun 28, 2014 at 8:26 | |||||
| Jun 28, 2014 at 7:14 | history | asked | shahab kalantari | CC BY-SA 3.0 |