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math.GN2023
A complete classification of the zero-dimensional homogeneous spaces under determinacy
Andrea Medini
All spaces are assumed to be separable and metrizable. We give a complete classification of the zero-dimensional homogeneous spaces, under the Axiom of Determinacy. This classifica…
math.GN2023
Countable spaces, realcompactness, and the pseudointersection number
Claudio Agostini, Andrea Medini, Lyubomyr Zdomskyy
All spaces are assumed to be Tychonoff. Given a realcompact space , we denote by the smallest infinite cardinal such that is homeomorphic to a closed s…