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

collaborators

Showing 2014Show all

5 papers · 1 filter

math.GN2014

A homogeneous space whose complement is rigid

Andrea Medini, Jan van Mill, Lyubomyr Zdomskyy

We construct a homogeneous subspace of $2^{ω}$ whose complement is dense in $2^{ω}$ and rigid. Using the same method, assuming Martin's Axiom, we also construct a countable dense homog…

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…

math.GN2014

Productively Lindelöf spaces of countable tightness

Andrea Medini, Lyubomyr Zdomskyy

Michael asked whether every productively Lindelöf space is powerfully Lindelöf. Building of work of Alster and De la Vega, assuming the Continuum Hypothesis, we show that every pro…

math.LO2014

Distinguishing perfect set properties in separable metrizable spaces

Andrea Medini

All spaces are assumed to be separable and metrizable. Our main result is that the statement "For every space $X$ , every closed subset of $X$ has the perfect set property if and on…