Sumset phenomenon in locally compact topological groups

摘要

In this article, we prove a weak version of Furstenberg's Principal Theorem in amenable locally compact topological groups, and obtain some Ramsey Theoretic results. Also by the ultrafilter method of M. Beiglock we prove Jin's Theorem for amenable non-compact locally compact topological groups. (c) 2021 Elsevier B.V. All rights reserved.