3 papers
math.GN2018
Every zero-dimensional homogeneous space is strongly homogeneous under determinacy
Raphaël Carroy, Andrea Medini, Sandra Müller
All spaces are assumed to be separable and metrizable. We show that, assuming the Axiom of Determinacy, every zero-dimensional homogeneous space is strongly homogeneous (that is, a…
math.GN2016
On Borel semifilters
Andrea Medini
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.…
math.GN2016
Every filter is homeomorphic to its square
Andrea Medini, Lyubomyr Zdomskyy
We show that every filter on , viewed as a subspace of , is homeomorphic to . This generalizes a theorem of van Engelen, who proved that this h…