11 citations · 13 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
Small sets of reals through the prism of fractal dimensions
Ondrej Zindulka
A separable metric space X is an H-null set if any uniformly continuous image of X has Hausdorff dimension zero. upper H-null, directed P-null and P-null sets are defined likewise,…
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…