EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 93(107), pp. 145–152 (2013)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

Pick a mirror

 		 

SPACES WITH $\sigma$-LOCALLY FINITE LINDELÖF sn-NETWORKS

Luong Quoc Tuyen

Department of Mathematics, Da Nang University of Education, 459 Ton Duc Thang, Lien Chieu, Da Nang city, Vietnam

Abstract: We prove that a space $X$ has a $\sigma$-locally finite Lindelöf sn-network if and only if $X$ is a compact-covering compact and mssc-image of a locally separable metric space, if and only if $X$ is a sequentially-quotient $\pi$ and mssc-image of a locally separable metric space, where "compact-covering" (or "sequentially-quotient") can not be replaced by "sequence-covering". As an application, we give a new characterization of spaces with locally countable weak bases.

Keywords: weak base, sn-network, locally finite, Lindelöf, compact-covering map, compact map, mssc-map

Classification (MSC2000): 54E35, 54E40; 54D65, 54E99

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

Electronic fulltext finalized on: 2 Apr 2013. This page was last modified: 8 Apr 2013.

© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
© 2013 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition