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Results tagged with stone-cech-compactification
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user 17064
8
votes
Is this space the Stone–Čech compactification?
Correction (2022-01-01): In the first version of this answer, I had defined $E$-compact spaces as those $X$ such that the natural evaluation map $X \to E^{C(X,E)}$ is a homeomorphism on a closed subsp …
- 32.5k
2
votes
Stone-Čech boundary is not extremally disconnected
The question has already been answered satisfactorily, but I think the following presentation, which is implicit in the second part of YCor's answer, will clarify things. The fact that $\beta\mathbb{ …
- 32.5k