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Subjects
54-XX General topology
54Dxx Fairly general properties
54D60 Realcompactness and realcompactification

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Eine Charakterisierung K-kompakter topologischer Räume.

P. Brucker (1971)

Monatshefte für Mathematik

Extending Linear Space-Valued Functions.

R.A. ALÒ, L.I. SENNOTT (1971)

Mathematische Annalen

Extensions of topological and semitopological groups and the product operation

Aleksander V. Arhangel'skii, Miroslav Hušek (2001)

Commentationes Mathematicae Universitatis Carolinae

The main results concern commutativity of Hewitt-Nachbin realcompactification or Dieudonné completion with products of topological groups. It is shown that for every topological group $G$ that is not Dieudonné complete one can find a Dieudonné complete group $H$ such that the Dieudonné completion of $G \times H$ is not a topological group containing $G \times H$ as a subgroup. Using Korovin’s construction of $G_{δ}$ -dense orbits, we present some examples showing that some results on topological groups are not valid for semitopological...

Currently displaying 1 – 3 of 3

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