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We present several conditions on topological groups $G$ and $H$ under which \emph{every} discontinuous homomorphism of $G$ to $H$ preserves accumulation points of open sets in $G$. It is also… Click to show full abstract
We present several conditions on topological groups $G$ and $H$ under which \emph{every} discontinuous homomorphism of $G$ to $H$ preserves accumulation points of open sets in $G$. It is also proved that every (locally) precompact abelian group admits a strictly finer zero-dimensional (locally) precompact topological group topology of the same weight as the original one.
Keywords:
discontinuous homomorphisms;
continuity properties;
group;
refinements group;
homomorphisms refinements;
properties discontinuous
Journal Title: Filomat
Year Published: 2017
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!