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Displaying similar documents to “A Mapping Theorem on Aleph-spaces”

A note on g -metrizable spaces

Jinjin Li (2003)

Czechoslovak Mathematical Journal

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In this paper, the relationships between metric spaces and g -metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.

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.

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.