$ls$-Ponomarev-systems and compact images of locally separable metric spaces

Abstract

We introduce the notion of an $ls$-Ponomarev-system $(f, M, X, \{\mathcal{P}_{\lambda,n}\})$, and give necessary and sufficient conditions such that the mapping $f$ is a compact (compact-covering, sequence-covering, pseudo-sequence-covering, sequentially-quotient) mapping from a locally separable metric space $M$ onto a space $X$. As applications of these results, we systematically get characterizations of certain compact images of locally separable metric spaces.

Full Text

Article Information

Title	$ls$-Ponomarev-systems and compact images of locally separable metric spaces
Source	Methods Funct. Anal. Topology, Vol. 15 (2009), no. 4, 391-400
MathSciNet	MR2603837
Copyright	The Author(s) 2009 (CC BY-SA)

Authors Information

Tran Van An
Department of Mathematics, Vinh University, Nghean Province, Vietnam

Nguyen Van Dung
Department of Mathematics, Pedagogical University of Dongthap, Dongthap Province, Vietnam

Citation Example

Tran Van An and Nguyen Van Dung, $ls$-Ponomarev-systems and compact images of locally separable metric spaces, Methods Funct. Anal. Topology 15 (2009), no. 4, 391-400.

BibTex

@article {MFAT497,
    AUTHOR = {Tran Van An and Nguyen Van Dung},
     TITLE = {$ls$-Ponomarev-systems and compact images of locally separable metric spaces},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {15},
      YEAR = {2009},
    NUMBER = {4},
     PAGES = {391-400},
      ISSN = {1029-3531},
  MRNUMBER = {MR2603837},
       URL = {http://mfat.imath.kiev.ua/article/?id=497},
}