On the topological structure of 0-dimensional topological groups
Andrzej Hulanicki (1959)
Fundamenta Mathematicae
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Displaying similar documents to “A uniquely homogeneous space need not be a topological group”
On the topological structure of 0-dimensional topological groups
Totally divergent dense sets in Cantor cubes
Jan van Mill (1988)
Commentationes Mathematicae Universitatis Carolinae
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A rigid Boolean algebra that admits the elimination of Q21
H. Mildenberg (1993)
Fundamenta Mathematicae
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Using ♢ , we construct a rigid atomless Boolean algebra that has no uncountable antichain and that admits the elimination of the Malitz quantifier .
Open mappings on extremally disconnected compact spaces
Egbert Thümmel (2006)
Acta Universitatis Carolinae. Mathematica et Physica
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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,...