On Borel semifilters
classification
🧮 math.GN
math.LO
keywords
borelanalyticbuildingcoanalyticcompactdeterminacyengelenextends
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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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