On certain groups of functions.
Yang, J.S. (1980)
International Journal of Mathematics and Mathematical Sciences
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Yang, J.S. (1980)
International Journal of Mathematics and Mathematical Sciences
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Sidney A. Morris (1972)
Matematický časopis
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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...
Wojciech Chojnacki (1999)
Collectanea Mathematica
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L. Morales, M. Tkachenko (2016)
Topological Algebra and its Applications
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A topological group is strongly realcompact if it is topologically isomorphic to a closed subgroup of a product of separable metrizable groups. We show that if H is an invariant Čech-complete subgroup of an ω-narrow topological group G, then G is strongly realcompact if and only if G/H is strongly realcompact. Our proof of this result is based on a thorough study of the interaction between the P-modification of topological groups and the operation of taking quotient groups.
Milnes, Paul (1994)
International Journal of Mathematics and Mathematical Sciences
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