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

Title:

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

Creator:

Ge, Ying and Lin, Shou

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:14068369-084f-4070-80e8-8595c2aebfc4
uuid:14068369-084f-4070-80e8-8595c2aebfc4

Subject:

$g$-metrizable spaces, $sn$-metrizable spaces, weak-open mappings, strong sequence-covering mappings, quotient mappings, $\pi $-mappings, $\sigma $-mappings, and $mssc$-mappings

Type:

model:article and TEXT

Format:

bez média and svazek

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”.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1141-1149

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:4

Harvested from:

CDK

Metadata only:

false