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arXiv · 1709.02027

Large Sets in Boolean and Non-Boolean Groups and Topology

Ol'ga V. Sipacheva
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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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Ol'ga V. Sipacheva. 2017-09-06. Large Sets in Boolean and Non-Boolean Groups and Topology. https://arxiv.org/abs/1709.02027

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