Equivariant embeddings of -spaces
de Vries, Jan
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de Vries, Jan
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Michael Megrelishvili (1994)
Commentationes Mathematicae Universitatis Carolinae
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An important consequence of a result of Katětov and Morita states that every metrizable space is contained in a complete metrizable space of the same dimension. We give an equivariant version of this fact in the case of a locally compact -compact acting group.
Mihail G. Tkachenko (1984)
Czechoslovak Mathematical Journal
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Aleksander V. Arhangel'skii (1999)
Commentationes Mathematicae Universitatis Carolinae
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A well known theorem of W.W. Comfort and K.A. Ross, stating that every pseudocompact group is -embedded in its Weil completion [5] (which is a compact group), is extended to some new classes of topological groups, and the proofs are very transparent, short and elementary (the key role in the proofs belongs to Lemmas 1.1 and 4.1). In particular, we introduce a new notion of canonical uniform tightness of a topological group and prove that every -dense subspace of a topological group...