A note on $\aleph $-spaces and $g$-metrizable spaces

Zhaowen Li

Displaying similar documents to “A note on $ℵ$ -spaces and $g$ -metrizable spaces”

Notes on $c f p$ -covers

Shou Lin, Peng Fei Yan (2003)

Commentationes Mathematicae Universitatis Carolinae

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The main purpose of this paper is to establish general conditions under which $T_{2}$ -spaces are compact-covering images of metric spaces by using the concept of $c f p$ -covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of $g$ -metrizable spaces by compact-covering $σ$ -maps and $m s s c$ -maps.

A Mapping Theorem on Aleph-spaces

Zhaowen Li (2005)

Matematički Vesnik

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$g$ -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”.

Displaying similar documents to “A note on ℵ -spaces and g -metrizable spaces”

Notes on c f p -covers

A Mapping Theorem on Aleph-spaces

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

Displaying similar documents to “A note on $ℵ$ -spaces and $g$ -metrizable spaces”

Notes on $c f p$ -covers

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