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Start Over Subject $\pi $-mappings Subject $\sigma $-mappings

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

Creator:
Ge, Ying and Lin, Shou
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
$g$-metrizable spaces, $sn$-metrizable spaces, weak-open mappings, strong sequence-covering mappings, quotient mappings, $\pi $-mappings, $\sigma $-mappings, and $mssc$-mappings
Language:
English
Description:
In this paper, we prove that a space $X$ is a $g$-metrizable space if and only if $X$ is a weak-open, $\pi $ and $\sigma $-image of a semi-metric space, if and only if $X$ is a strong sequence-covering, quotient, $\pi $ and $mssc$-image of a semi-metric space, where “semi-metric” can not be replaced by “metric”.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public