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math.CA2012
Answer to a question of Kolmogorov
Richárd Balka, Márton Elekes, András Máthé
More than 80 years ago Kolmogorov asked the following question. Let be a measurable set with , where denotes the two-dimensional…
math.CA2012
Generalized Hausdorff measure for generic compact sets
Richárd Balka, András Máthé
Let be a Polish space. We prove that the generic compact set (in the sense of Baire category) is either finite or there is a continuous gauge function such t…
math.CA2012★ 11 cited
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…