Remarks on Cartesian products
Roman Pol, E. Puzio-Pol (1976)
Fundamenta Mathematicae
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Roman Pol, E. Puzio-Pol (1976)
Fundamenta Mathematicae
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Zdeněk Frolík (1960)
Czechoslovak Mathematical Journal
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Efimov, B.
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R. Engelking, A. Pełczyński (1963)
Colloquium Mathematicae
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Aleksander V. Arhangel'skii, Miroslav Hušek (2001)
Commentationes Mathematicae Universitatis Carolinae
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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 that is not Dieudonné complete one can find a Dieudonné complete group such that the Dieudonné completion of is not a topological group containing as a subgroup. Using Korovin’s construction of -dense orbits, we present some examples showing that some results on topological groups are not valid...