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Minimality Conditions in Topological Groups

In: Recent Progress in General Topology III

Author

Listed:
  • Dikran Dikranjan

    (Udine University, Department of Mathematics)

  • Michael Megrelishvili

    (Bar-Ilan University, Department of Mathematics)

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.

Suggested Citation

  • Dikran Dikranjan & Michael Megrelishvili, 2014. "Minimality Conditions in Topological Groups," Springer Books, in: K.P. Hart & J. van Mill & P. Simon (ed.), Recent Progress in General Topology III, edition 127, pages 229-327, Springer.
    • Handle: RePEc:spr:sprchp:978-94-6239-024-9_6
    DOI: 10.2991/978-94-6239-024-9_6
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