Compactness type properties in topological groups
Mihail G. Tkachenko (1988)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Extremal pseudocompact Abelian groups: A unified treatment”
Compactness type properties in topological groups
Some relations between topological and algebraic properties of topological groups
Hartman, S.
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On topological and algebraic structure of extremally disconnected semitopological groups
Aleksander V. Arhangel'skii (2000)
Commentationes Mathematicae Universitatis Carolinae
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Starting with a very simple proof of Frol’ık’s theorem on homeomorphisms of extremally disconnected spaces, we show how this theorem implies a well known result of Malychin: that every extremally disconnected topological group contains an open and closed subgroup, consisting of elements of order . We also apply Frol’ık’s theorem to obtain some further theorems on the structure of extremally disconnected topological groups and of semitopological groups with continuous inverse. In particular,...