Displaying similar documents to “A note on $g$-metrizable 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.

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”.