Ondrej Zindulka: Meager-additive sets in Polish groups
Abstract: A set X in a topological group is meager-additive if
X+M is meager for every meager set M. We provide a combinatorial and
fractal dimension characterization of these sets in a class of groups
includes all compact and abelian locally compact Polish groups and
solve a few problems of Miller and Steprans on cardinal invariants.