Andrea Medini

collaborators

5 papers

math.LO2026

Non-meager $P$ -filters, Miller-measurability, and a question of HruÅ¡Ã¡k

Andrea Medini

Given a cardinal $I^º$ and filters $F_{I^} \pm$ on $I ¨ $ for $I^\pm \in I^º$ , we will show that if $\prod_{I^\pm \in I^º} F_{I^} \pm$ is countable dense homogeneous then $I^º < p$ …

math.GN2025

Countable dense homogeneity in large products of Polish spaces

Andrea Medini, Juris SteprÄns

We give a unified treatment of the countable dense homogeneity of products of Polish spaces, with a focus on uncountable products. Our main result states that a product of fewer th…

math.GN2025

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.GN2025

On the infinite powers of large zero-dimensional metrizable spaces

Andrea Medini

We show that $X^{I^} »$ is strongly homogeneous whenever $X$ is a non-separable zero-dimensional metrizable space and $I^»$ is an infinite cardinal. This partially answers a question of…

math.GN2025

Countable dense homogeneity and topological groups

Claudio Agostini, Andrea Medini, Lyubomyr Zdomskyy

Building on results of Medvedev, we construct a $ZFC$ example of a non-Polish topological group that is countable dense homogeneous. Our example is a dense subgroup of $\m…

Non-meager P-filters, Miller-measurability, and a question of HruÅ¡Ã¡k

Countable dense homogeneity in large products of Polish spaces

A complete classification of the zero-dimensional homogeneous spaces under determinacy

On the infinite powers of large zero-dimensional metrizable spaces

Countable dense homogeneity and topological groups

Non-meager $P$ -filters, Miller-measurability, and a question of HruÅ¡Ã¡k