Large Sets in Boolean and Non-Boolean Groups and Topology

2017/09/06 by Sipacheva, Ol'ga V.
#03E02 54H11 03E35 22A05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1709.02027

Abstract

Right and left thick, syndetic, piecewise syndetic, and fat sets in groups are studied. The main concern is the interplay between such sets in Boolean groups. Natural topologies closely related to fat sets are also considered, which leads to interesting relations between fat sets and ultrafilters.

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