11 citations · 13 across the 5 of their papers we have counts for
9 papers
Null-additive sets and packing measures
Ond{ř}ej Zindulka
A separable metric space has strict measure zero if its packing measure induced by any gauge is zero. We provide a few characterizations of strict measure zero, look at cartesian p…
More on dominated and microscopic sets
Ondřej Zindulka, Piotr Nowakowski, Cristina Villanueva-Segovia
Let be a family of sequences decreasing to zero. A set in a metric space is -dominated if, for every , there exists a countable cover of such that…
Meager-additive sets in topological groups
Ondrej Zindulka
By the Galvin-Mycielski-Solovay theorem, a subset of the line has Borel's strong measure zero if and only if for each meager set . A set $X\subseteq\math…
Strong measure zero and meager-additive sets through the prism of fractal measures
Ondrej Zindulka
We develop a theory of \emph{sharp measure zero} sets that parallels Borel's \emph{strong measure zero}, and prove a theorem analogous to Galvin-Myscielski-Solovay Theorem, namely…
Mapping Analytic sets onto cubes by little Lipschitz functions
Jan Malý, Ondřej Zindulka
A mapping between metric spaces is called \emph{little Lipschitz} if the quantity is…
Properties of functions with monotone graphs
Ondřej Zindulka, Michael Hrušák, Tamás Mátrai +2
A metric space (X,d) is monotone if there is a linear order < on X and a constant c>0 such that d(x,y) < c d(x,z) for all x<y<z in X. Properties of continuous functions with monoto…