Every filter is homeomorphic to its square
classification
🧮 math.GN
math.LO
keywords
everyfilterhomeomorphicmathcalomegaborelengelenfilters
read the original abstract
We show that every filter $\mathcal{F}$ on $\omega$, viewed as a subspace of $2^\omega$, is homeomorphic to $\mathcal{F}^2$. This generalizes a theorem of van Engelen, who proved that this holds for Borel filters.
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