Paratopological and Semitopological Groups Versus Topological Groups

Mikhail Tkachenko ()
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Mikhail Tkachenko: Universidad Autónoma Metropolitana, Departamento de Matemáticas

A chapter in Recent Progress in General Topology III, 2014, pp 825-882 from Springer

Abstract: Abstract We present a survey on paratopological and semitopological groups relating these classes with the class of topological groups. A special attention is given to compactness-type properties in paratopological and semitopological groups which often imply automatic continuity of inversion or multiplication (or both) in these classes of objects.

Keywords: Semitopological Group; Pseudocompact Topological Group; Paratopological Group; Arhangel; Tychonoff (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-6239-024-9_20

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DOI: 10.2991/978-94-6239-024-9_20

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