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.

Bibliographic Details
Main Authors: Tran Van An, Nguyen Van Dung
Format: Article
Language:English
Published: Hindawi Limited 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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spelling doaj-bec402c8460742679b5342d634abc47b2020-11-24T23:06:13ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author Tran Van An
Nguyen Van Dung
spellingShingle Tran Van An
Nguyen Van Dung
On π-Images of Locally Separable Metric Spaces
International Journal of Mathematics and Mathematical Sciences
author_facet Tran Van An
Nguyen Van Dung
author_sort Tran Van An
title On π-Images of Locally Separable Metric Spaces
title_short 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_sort on π-images of locally separable metric spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2008-01-01
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.
url http://dx.doi.org/10.1155/2008/145683
work_keys_str_mv AT tranvanan onpimagesoflocallyseparablemetricspaces
AT nguyenvandung onpimagesoflocallyseparablemetricspaces
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