Compactness type properties in topological groups
Mihail G. Tkachenko (1988)
Czechoslovak Mathematical Journal
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Mihail G. Tkachenko (1988)
Czechoslovak Mathematical Journal
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Hartman, S.
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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,...
Peter Loth (2005)
Rendiconti del Seminario Matematico della Università di Padova
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