M. Doležal

activity

20152026

most citedCliques in dense inhomogeneous random graphs

10 citations · 16 across the 5 of their papers we have counts for

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math.LO2026

A nonmicroscopic $G_{δ}$ set with only microscopic compact subsets

Martin Doležal, Václav Vlasák

We construct a nonmicroscopic $G_{δ}$ subset of the real line all of whose compact subsets are microscopic, answering a question of Zindulka and Nowakowski. We first obtain such a se…

math.LO2015

Perfect independent sets with respect to infinitely many relations

Martin Doležal, Wiesław Kubiś

We prove a result on perfect cliques with respect to countably many G-delta relations on a complete metric space. As an application, we show that a Polish group contains a free sub…

A nonmicroscopic Gδ​ set with only microscopic compact subsets

Perfect independent sets with respect to infinitely many relations

A nonmicroscopic $G_{δ}$ set with only microscopic compact subsets