Displaying similar documents to “Remarks on sequence covering images of metric 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.

Remarks on sequence-covering maps

Luong Quoc Tuyen (2012)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we prove that each sequence-covering and boundary-compact map on g -metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in [].