Andrea Medini

collaborators

3 papers

math.GN2024

Every finite-dimensional analytic space is $σ$ -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.GN2014

Countable dense homogeneity in powers of zero-dimensional definable spaces

Andrea Medini

We show that, for a coanalytic subspace $X$ of $2^{ω}$ , the countable dense homogeneity of $X^{ω}$ is equivalent to $X$ being Polish. This strengthens a result of Hrušák and Zamora Avi…

math.GN2014

Between Polish and completely Baire

Andrea Medini, Lyubomyr Zdomskyy

All spaces are assumed to be separable and metrizable. Consider the following properties of a space $X$ . (1) $X$ is Polish. (2) For every countable crowded $Q \subseteq X$ there exi…

Every finite-dimensional analytic space is σ-homogeneous

Countable dense homogeneity in powers of zero-dimensional definable spaces

Between Polish and completely Baire

Every finite-dimensional analytic space is $σ$ -homogeneous