Andrea Medini

activity

20092026

most citedSeven characterizations of non-meager P-filters

6 citations · 18 across the 19 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

math.GN2025

Countable dense homogeneity in large products of Polish spaces

Andrea Medini, Juris Steprāns

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

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…

math.GN2025

On the infinite powers of large zero-dimensional metrizable spaces

Andrea Medini

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