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Results tagged with stone-cech-compactification
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user 17836
3
votes
A question about the Stone–Čech compactification of discrete spaces
Under $GCH$ the function $\psi$ reflects all infinite cardinals for the class of compact Hausdorff spaces (see for example Theorem 3.8 in "Reflection theorems for cardinal functions" by Hodel and Vaug …
- 11.5k
1
vote
Accepted
Locally compact, 0-dimensional, pseudocompact space
An infinite collection $\mathcal{A}$ of infinite subsets of $\mathbb{N}$ is said to be almost disjoint (AD) if $A\cap B$ is finite whenever $A,B \in \mathcal{A}$ with $A \neq B$. If the family is maxi …
- 11.5k
7
votes
What is the Stone–Čech compactification of a dense set of $\beta N \setminus N$?
If you consider only complements of points, which are particular dense $G_\delta$-sets, the answer is independent of $ZFC$. The following results can be found in van Mill´s article in the Handbook of …
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