On π-Images of Locally Separable Metric Spaces

We characterize π-images of locally separable metric spaces by means of covers having π-property. As its application, we obtain characterizations of compact-covering (sequence-covering, pseudo-sequence-covering, and sequentially quotient) π-images of locally sparable metric spaces.

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Bibliographic Details
Main Authors: Tran Van An, Nguyen Van Dung
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/145683
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author Tran Van An
Nguyen Van Dung
author_facet Tran Van An
Nguyen Van Dung
author_sort Tran Van An
collection DOAJ
description We characterize π-images of locally separable metric spaces by means of covers having π-property. As its application, we obtain characterizations of compact-covering (sequence-covering, pseudo-sequence-covering, and sequentially quotient) π-images of locally sparable metric spaces.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2008-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-bec402c8460742679b5342d634abc47b2025-02-03T01:00:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/145683145683On π-Images of Locally Separable Metric SpacesTran Van An0Nguyen Van Dung1Department of Mathematics, Vinh University, 182 Le Duan, Vinh City, VietnamDepartment of Mathematics, Pedagogical University of Dong Thap, Dong Thap, VietnamWe characterize π-images of locally separable metric spaces by means of covers having π-property. As its application, we obtain characterizations of compact-covering (sequence-covering, pseudo-sequence-covering, and sequentially quotient) π-images of locally sparable metric spaces.http://dx.doi.org/10.1155/2008/145683
spellingShingle Tran Van An
Nguyen Van Dung
On π-Images of Locally Separable Metric Spaces
International Journal of Mathematics and Mathematical Sciences
title On π-Images of Locally Separable Metric Spaces
title_full On π-Images of Locally Separable Metric Spaces
title_fullStr On π-Images of Locally Separable Metric Spaces
title_full_unstemmed On π-Images of Locally Separable Metric Spaces
title_short On π-Images of Locally Separable Metric Spaces
title_sort on π images of locally separable metric spaces
url http://dx.doi.org/10.1155/2008/145683
work_keys_str_mv AT tranvanan onpimagesoflocallyseparablemetricspaces
AT nguyenvandung onpimagesoflocallyseparablemetricspaces