On certain groups of functions.

Yang, J.S.

Displaying similar documents to “On certain groups of functions.”

Semitopological homomorphisms

Anna Giordano Bruno (2008)

Rendiconti del Seminario Matematico della Università di Padova

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Semicontinuous groups and separation properties.

Clay, Ellen, Clark, Bradd, Schneider, Vic (1992)

International Journal of Mathematics and Mathematical Sciences

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Direct limits of topological spaces and groups

J. Mioduszewski (1964)

Colloquium Mathematicae

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Free Compact Abelian Groups

Sidney A. Morris (1972)

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Set-set topologies and semitopological groups.

Porter, Kathryn F. (1989)

International Journal of Mathematics and Mathematical Sciences

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Extensions of topological and semitopological groups and the product operation

Aleksander V. Arhangel&#039;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 $G$ 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...