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- W2602500925 abstract "When does a topological group $G$ have a Hausdorff compactification $bG$ with a remainder belonging to a given class of spaces? In this paper, we mainly improve some results of A.V. Arhangel'skiv{i} and C. Liu's. Let $G$ be a non-locally compact topological group and $bG$ be a compactification of $G$. The following facts are established: (1) If $bGsetminus G$ has a locally a point-countable $p$-metabase and $pi$-character of $bGsetminus G$ is countable, then $G$ and $bG$ are separable and metrizable; (2) If $bGsetminus G$ has locally a $deltatheta$-base, then $G$ and $bG$ are separable and metrizable; (3) If $bGsetminus G$ has locally a quasi-$G_{delta}$-diagonal, then $G$ and $bG$ are separable and metrizable. Finally, we give a partial answer for a question, which was posed by C. Liu in cite{LC}." @default.
- W2602500925 created "2017-04-07" @default.
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- W2602500925 date "2011-09-29" @default.
- W2602500925 modified "2023-09-25" @default.
- W2602500925 title "Local properties on the remainders of the topological groups" @default.
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