R. Balka

activity

20112026

most citedTopological Hausdorff dimension and level sets of generic continuous functions on fractals

30 citations · 63 across the 24 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.CA2020

Singularity of maps of several variables and a problem of Mycielski concerning prevalent homeomorphisms

Richárd Balka, Márton Elekes, Viktor Kiss +1

S. Banach pointed out that the graph of the generic (in the sense of Baire category) element of $Homeo ([0, 1])$ has length $2$ . J. Mycielski asked if the measure theoretic du…

math.CA2020

Compact sets with large projections and nowhere dense sumset

Richárd Balka, Márton Elekes, Viktor Kiss +2

We answer a question of Banakh, Jabłońska and Jabłoński by showing that for $d \geq 2$ there exists a compact set $K \subseteq R^{d}$ such that the projection of $K$ onto each…