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Results tagged with stone-cech-compactification
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user 15129
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Comparing cardinalities of the spectrum of two masas in $B(H)$
Yes. The spectra of $\ell_\infty$ and $L_\infty$ have the same cardinality, namely $2^{\mathfrak{c}}$.
Indeed, every infinite, compact $F$-space space (in particular, an extremely disconnected compac …
- 11.3k
5
votes
Stone-Čech compactification
As for Q1, the answer is no. As remarked by Narutaka, the hyperstonean cover of $[0,1]$ does not have isolated points (Corollary 2.22) and all points of a discrete space $\Gamma$ are isolated in $\bet …
- 11.3k