Minimality Conditions in Topological Groups

Dikran Dikranjan; Michael Megrelishvili

doi:10.2991/978-94-6239-024-9_6

Minimality Conditions in Topological Groups

Dikran Dikranjan
, Michael Megrelishvili

Department of Mathematics

Bar-Ilan University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

This is a survey on the recent progress in minimal topological groups, with a particular emphasis on constructions leading to non-abelian minimal groups, as semidirect products, generalized Heisenberg groups and other groups naturally arising in Analysis and Geometry. A special attention is paid to several generalizations of minimality (as local minimality, relative minimality and co-minimality), the relations of minimality to (dis)connectedness and to various level of compactness and completeness.

Original language	English
Title of host publication	Recent Progress in General Topology III
Place of Publication	Paris, France
Publisher	Atlantis Press
Pages	229-327
Number of pages	99
ISBN (Print)	978-94-6239-023-2
DOIs	https://doi.org/10.2991/978-94-6239-024-9_6
State	Published - 1 Dec 2013

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10.2991/978-94-6239-024-9_6

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Minimality Conditions in Topological Groups

Abstract

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