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Displaying similar documents to “Weak-open compact images of metric spaces”

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.

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.

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

Ying Ge, Shou Lin (2007)

Czechoslovak Mathematical Journal

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In this paper, we prove that a space X is a g -metrizable space if and only if X is a weak-open, π and σ -image of a semi-metric space, if and only if X is a strong sequence-covering, quotient, π and m s s c -image of a semi-metric space, where “semi-metric” can not be replaced by “metric”.

Further properties of 1-sequence-covering maps

Tran Van An, Luong Quoc Tuyen (2008)

Commentationes Mathematicae Universitatis Carolinae

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Some relationships between 1 -sequence-covering maps and weak-open maps or sequence-covering s -maps are discussed. These results are used to generalize a result from Lin S., Yan P., , Topology Appl. (2001), 301–314.