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Every filter is homeomorphic to its square
Published 13 May 2016 in math.GN and math.LO | (1605.04087v1)
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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