11 citations · 13 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
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…
Packing measures and dimensions on cartesian products
Ondrej Zindulka
Packing measures and Hewitt-Stromberg measures on products of metric spaces are investigated. New product inequalities for packing and lower packing dimensions are esatblished and…
Hausdorff dimension of metric spaces and Lipschitz maps onto cubes
Tamás Keleti, András Máthé, Ondřej Zindulka
We prove that a compact metric space (or more generally an analytic subset of a complete separable metric space) of Hausdorff dimension bigger than can be always mapped onto a…