3 papers
math.GN2025
Countable dense homogeneity and topological groups
Claudio Agostini, Andrea Medini, Lyubomyr Zdomskyy
Building on results of Medvedev, we construct a example of a non-Polish topological group that is countable dense homogeneous. Our example is a dense subgroup of $\m…
math.GN2024
Every finite-dimensional analytic space is -homogeneous
Claudio Agostini, Andrea Medini
All spaces are assumed to be separable and metrizable. Building on work of van Engelen, Harrington, Michalewski and Ostrovsky, we obtain the following results: (1) Every finite-dim…
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…