On a theorem of W.W. Comfort and K.A. Ross
Arhangel'skii, Aleksander V.
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 133-151 / Harvested from Czech Digital Mathematics Library
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A well known theorem of W.W. Comfort and K.A. Ross, stating that every pseudocompact group is $C$-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 $G$ and prove that every $G_\delta $-dense subspace $Y$ of a topological group $G$, such that the canonical uniform tightness of $G$ is countable, is $C$-embedded in $G$.

Publié le : 1999-01-01
Classification:  22A05,  54A05,  54C45,  54D55,  54D60,  54H11 
@article{119068,
     author = {Aleksander V. Arhangel'skii},
     title = {On a theorem of W.W. Comfort and K.A. Ross},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {133-151},
     zbl = {1060.54513},
     mrnumber = {1715207},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119068}
}

Arhangel'skii, Aleksander V. On a theorem of W.W. Comfort and K.A. Ross. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 133-151. http://gdmltest.u-ga.fr/item/119068/

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