Minimality Conditions in Topological Groups

Dikran Dikranjan, Michael Megrelishvili

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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 languageAmerican English
Title of host publicationRecent Progress in General Topology III
Place of PublicationParis, France
PublisherAtlantis Press
Number of pages99
ISBN (Print)978-94-6239-023-2
StatePublished - 1 Dec 2013


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