Displaying similar documents to “On π - s -images of metric spaces.”

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 [].

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.

Further properties of 1-sequence-covering maps

Tran Van An, Luong Quoc Tuyen (2008)

Commentationes Mathematicae Universitatis Carolinae

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Some relationships between 1 -sequence-covering maps and weak-open maps or sequence-covering s -maps are discussed. These results are used to generalize a result from Lin S., Yan P., , Topology Appl. (2001), 301–314.