Spaces with $\sigma $-locally countable weak-bases

Zhaowen Li

Displaying similar documents to “Spaces with $σ$ -locally countable weak-bases”

On spaces with point-countable $k$ -systems

Iwao Yoshioka (2004)

Commentationes Mathematicae Universitatis Carolinae

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This paper deals with the behavior of $M$ -spaces, countably bi-quasi- $k$ -spaces and singly bi-quasi- $k$ -spaces with point-countable $k$ -systems. For example, we show that every $M$ -space with a point-countable $k$ -system is locally compact paracompact, and every separable singly bi-quasi- $k$ -space with a point-countable $k$ -system has a countable $k$ -system. Also, we consider equivalent relations among spaces entried in Table 1 in Michael’s paper [15] when the spaces have point-countable $k$ -systems. ...

On the weak-open images of metric spaces

Zhaowen Li, Shou Lin (2004)

Czechoslovak Mathematical Journal

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In this paper, we give characterizations of certain weak-open images of metric spaces.

A note on topological groups and their remainders

Liang-Xue Peng, Yu-Feng He (2012)

Czechoslovak Mathematical Journal

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In this note we first give a summary that on property of a remainder of a non-locally compact topological group $G$ in a compactification $b G$ makes the remainder and the topological group $G$ all separable and metrizable. If a non-locally compact topological group $G$ has a compactification $b G$ such that the remainder $b G ∖ G$ of $G$ belongs to $𝒫$ , then $G$ and $b G ∖ G$ are separable and metrizable, where $𝒫$ is a class of spaces which satisfies the following conditions: (1) if $X \in 𝒫$ , then every compact subset of the...

Displaying similar documents to “Spaces with σ -locally countable weak-bases”

On spaces with point-countable k -systems

On the weak-open images of metric spaces

A note on topological groups and their remainders

Displaying similar documents to “Spaces with $σ$ -locally countable weak-bases”

On spaces with point-countable $k$ -systems