Displaying similar documents to “Spaces With σ -Locally Finite Lindelöf sn-Networks”

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 note on ℵ -spaces and g -metrizable spaces

Zhaowen Li (2005)

Czechoslovak Mathematical Journal

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In this paper, we give the mapping theorems on ℵ -spaces and g -metrizable spaces by means of some sequence-covering mappings, mssc-mappings and π -mappings.

Spaces with σ -locally countable weak-bases

Zhaowen Li (2006)

Archivum Mathematicum

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In this paper, spaces with σ -locally countable weak-bases are characterized as the weakly open msss-images of metric spaces (or g -first countable spaces with σ -locally countable c s -networks).

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”.