Andrea Medini

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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…