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

A note on -spaces and g -metrizable spaces

Zhaowen Li (2005)

Czechoslovak Mathematical Journal

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In this paper, we give the mapping theorems on -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.