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- W2553577054 abstract "A topological space $X$ is called strongly $sigma$-metrizable if $X=bigcup_{ninomega}X_n$ for an increasing sequence $(X_n)_{ninomega}$ of closed metrizable subspaces such that every convergence sequence in $X$ is contained in some $X_n$. If, in addition, every compact subset of $X$ is contained in some $X_n$, $ninomega$, then $X$ is called super $sigma$-metrizable. Answering a question of V.K.Maslyuchenko and O.I.Filipchuk, we prove that a topological space is strongly $sigma$-metrizable if and only if it is super $sigma$-metrizable." @default.
- W2553577054 created "2016-11-30" @default.
- W2553577054 creator A5005007660 @default.
- W2553577054 date "2016-11-15" @default.
- W2553577054 modified "2023-09-27" @default.
- W2553577054 title "Strongly $sigma$-metrizable spaces are super $sigma$-metrizable" @default.
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