arnautov's problems on semitopological isomorphisms

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ID: 178603
2009
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Abstract
Semitopological isomorphisms of topological groups were introduced by Arnautov [2], who posed several questions related to compositions of semitopological isomorphisms and about the groups G (we call them Arnautov groups) such that for every group topology on G every semitopological isomorphism with domain (G, ) is necessarily open (i.e., a topological isomorphism). We propose a different approach to these problems by introducing appropriate new notions, necessary for a deeper understanding of Arnautov groups. This allows us to find some partial answers and many examples. In particular, we discuss the relation with minimal groups and non-topologizable groups.
Reference Key
dikranjan2009appliedarnautov's Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Dikran Dikranjan, Anna Giordano Bruno
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Journal Health and quality of life outcomes
Year 2009
DOI
10.4995/agt.2009.1789
URL
http://polipapers.upv.es/index.php/AGT/article/view/1789
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