3 papers
math.CO2018
Relating the cut distance and the weak* topology for graphons
Martin Doležal, Jan Grebík, Jan Hladký +2
The theory of graphons is ultimately connected with the so-called cut norm. In this paper, we approach the cut norm topology via the weak* topology (when considering a predual of $…
math.CA2018
The de Bruijn-Erdős theorem from a Hausdorff measure point of view
Martin Doležal, Themis Mitsis, Christos Pelekis
Motivated by a well-known result in extremal set theory, due to Nicolaas Govert de Bruijn and Paul Erdős, we consider curves in the unit -cube of the form \[ A=\{(x,f_…
math.GN2016
Haar meager sets, their hulls, and relationship to compact sets
Martin Doležal, Václav Vlasák
Let be an abelian Polish group. We show that there is a strongly Haar meager set in without any Haar meager hull (and that this still remains true if we replace …