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arXiv:1605.04087 [math.GN]AbstractReferencesReviewsResources

Every filter is homeomorphic to its square

Andrea Medini, Lyubomyr Zdomskyy

Published 2016-05-13Version 1

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.

Comments: 4 pages
Categories: math.GN, math.LO
Subjects: 54H99, 54E99, 03E05
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