Brandt extensions and primitive topological inverse semigroups.
Berezovski, Tetyana, Gutik, Oleg, Pavlyk, Kateryna (2010)
International Journal of Mathematics and Mathematical Sciences
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Berezovski, Tetyana, Gutik, Oleg, Pavlyk, Kateryna (2010)
International Journal of Mathematics and Mathematical Sciences
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Neil Hindman, Paul Milnes (1988)
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...