$g$-metrizable spaces and the images of semi-metric spaces

Ying Ge; Shou Lin

Displaying similar documents to “ $g$ -metrizable spaces and the images of semi-metric spaces”

A note on $ℵ$ -spaces and $g$ -metrizable spaces

Zhaowen Li (2005)

Czechoslovak Mathematical Journal

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In this paper, we give the mapping theorems on $ℵ$ -spaces and $g$ -metrizable spaces by means of some sequence-covering mappings, mssc-mappings and $π$ -mappings.

Weak-open compact images of metric spaces

Sheng Xiang Xia (2008)

Czechoslovak Mathematical Journal

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The main results of this paper are that (1) a space $X$ is $g$ -developable if and only if it is a weak-open $π$ image of a metric space, one consequence of the result being the correction of an error in the paper of Z. Li and S. Lin; (2) characterizations of weak-open compact images of metric spaces, which is another answer to a question in in the paper of Y. Ikeda, C. liu and Y. Tanaka.

On weak-open $π$ -images of metric spaces

Zhaowen Li (2006)

Czechoslovak Mathematical Journal

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In this paper, we give some characterizations of metric spaces under weak-open $π$ -mappings, which prove that a space is $g$ -developable (or Cauchy) if and only if it is a weak-open $π$ -image of a metric space.

Compact images of spaces with a weaker metric topology

Peng-fei Yan, Cheng Lü (2008)

Czechoslovak Mathematical Journal

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If $X$ is a space that can be mapped onto a metric space by a one-to-one mapping, then $X$ is said to have a weaker metric topology. In this paper, we give characterizations of sequence-covering compact images and sequentially-quotient compact images of spaces with a weaker metric topology. The main results are that (1) $Y$ is a sequence-covering compact image of a space with a weaker metric topology if and only if $Y$ has a sequence ${ℱ_{i}}_{i \in ℕ}$ of point-finite $c s$ -covers such that $⋂_{i \in ℕ} st (y, ℱ_{i}) = {y}$ for each $y \in Y$ . (2) $Y$ is...

A note on $g$ -metrizable spaces

Jinjin Li (2003)

Czechoslovak Mathematical Journal

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In this paper, the relationships between metric spaces and $g$ -metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.

Displaying similar documents to “ g -metrizable spaces and the images of semi-metric spaces”

A note on ℵ -spaces and g -metrizable spaces

Weak-open compact images of metric spaces

On weak-open π -images of metric spaces

Compact images of spaces with a weaker metric topology

A note on g -metrizable spaces

Displaying similar documents to “ $g$ -metrizable spaces and the images of semi-metric spaces”

A note on $ℵ$ -spaces and $g$ -metrizable spaces

On weak-open $π$ -images of metric spaces

A note on $g$ -metrizable spaces