O. Zindulka

activity

20182026

most citedLittle lip of a typical function and

σ

-porosity of graphs

2 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math.CA2026

Dominated sets, microscopic sets and Hausdorff measures

Ondřej Zindulka, Piotr Nowakowski

Let $S$ be a family of sequences of positive numbers that decrease to 0, let $X$ be a metric space and $A \subset X$ . $A$ is said to be $S$ -dominated if, for every $s \in S$ , a coun…

math.GN2019

Strong measure zero in Polish groups

Michael Hrušák, Ondřej Zindulka

The notion of strong measure zero is studied in the context of Polish groups. In particular, the extent to which the theorem of Galvin, Mycielski and Solovay holds in the context o…

math.CA2019★ 2 cited

Little lip of a typical function and $σ$ -porosity of graphs

Ondřej Zindulka

For a mapping $f : X \to Y$ between metric spaces the function $lip f : X \to [0, \infty]$ defined by $lip f (x) = lim inf_{r \to 0} \frac{diam f ( B ( x , r ))}{r}$ is…

math.CA2018

Mapping Borel sets onto balls and self-similar sets by Lipschitz and nearly Lipschitz maps

Ondřej Zindulka

If $X$ is an analytic metric space satisfying a very mild doubling condition, then for any finite Borel measure $μ$ on $X$ there is a set $N \subseteq X$ such that $μ (N) > 0$ , an ultr…

Dominated sets, microscopic sets and Hausdorff measures

Strong measure zero in Polish groups

Little lip of a typical function and σ-porosity of graphs

Mapping Borel sets onto balls and self-similar sets by Lipschitz and nearly Lipschitz maps

Little lip of a typical function and $σ$ -porosity of graphs