Building suitable sets for locally compact groups by means of continuous selections

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If a discrete subset S of a topological group G with the identity 1 generates a dense subgroup of G and S \cup {1} is closed in G, then S is called a suitable set for G. We apply Michael's selection theorem to offer a direct, self-contained, purely topological proof of the result of Hofmann and Morris on the existence of suitable sets in locally compact groups. Our approach uses only elementary facts from (topological) group theory.
No changes except page layout. 11 pages. To appear in: Topology and its Applications

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General Topology, Group Theory, 22D05 (Primary); 22A05, 22C05, 54A25, 54B05, 54B35, 54C60, 54C65, 54D30, 54D45, 54H11 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/225761

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.0489
 http://arxiv.org/abs/0812.0489
 Topology and its Applications, 156 (2009), 1216-1223
 doi:10.1016/j.topol.2008.12.009

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arXiv