EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 87(101), pp. 143–153 (2010)

Previous Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

Pick a mirror

 		 

ON SEQUENCE-COVERING mssc-IMAGES OF LOCALLY SEPARABLE METRIC SPACES

Nguyen Van Dung

Mathematics Faculty, Dongthap University, Caolanh City, Dongthap Province, Vietnam

Abstract: We characterize sequence-covering (resp., 1-sequence-covering,\linebreak 2-sequence-covering) mssc-images of locally separable metric spaces by means of $\sigma$-locally finite $cs$-networks (resp., $sn$-networks, $so$-networks) consisting of $\aleph_0$-spaces (resp., $sn$-second countable spaces, $so$-second countable spaces). As the applications, we get characterizations of certain sequence-covering, quotient mssc-images of locally separable metric spaces.

Keywords: mssc-mapping, sequence-covering, 1-sequence-covering, 2-sequence-covering, $\sigma$-locally finite, $cs$-network, $sn$-network, $so$-network

Classification (MSC2000): 54E35, 54E40; 54D55, 54E99

Full text of the article: (for faster download, first choose a mirror)

Electronic fulltext finalized on: 20 Apr 2010. This page was last modified: 18 Jan 2016.

© 2010 Mathematical Institute of the Serbian Academy of Science and Arts
© 2010–2016 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition