Timeline for Example of a completely regular spaces
Current License: CC BY-SA 3.0
2 events
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| Jan 26, 2013 at 15:13 | comment | added | Ali | Dear Hart, Yes in Zero-dimensional space the following are equivalent. (1) $X$ ia an EF-spac. (2) $X$ is an extremally disconnected. (3) Any union of clopen subsets of $X$ is $C^{*}$-embedded. (4) If $\mathcal{U}$ and $\mathcal{V}$ are two collections of clopen subsets of $X$ with $\bigcup \mathcal{U}\cap \bigcup \mathcal{V}=\emptyset$, then $cl(\bigcup \mathcal{U})\cap cl(\bigcup \mathcal{V})=\emptyset$. | |
| Jan 26, 2013 at 8:13 | history | answered | KP Hart | CC BY-SA 3.0 |