On Borel semifilters

Published 3 May 2016 in math.GN and math.LO | (1605.01024v2)

Abstract: Building on work of van Engelen and van Mill, we show that a zero-dimensional Borel space is homeomorphic to a semifilter if and only if it is homogeneous and not locally compact. Under $\mathbf{\Sigma}^{1_1$-Determinacy,} this result extends to all analytic and coanalytic spaces.

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Authors (1)

Andrea Medini

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