EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 98(112), pp. 179–191 (2015)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home


Pick a mirror


Further results on images of metric spaces

Nguyen Van Dung

Faculty of Mathematics and Information Technology Teacher Education, Dong Thap University, Cao Lanh City, Dong Thap Province, Viet Nam

Abstract: We introduce the notion of an $ls$-$\pi$-Ponomarev-system to give necessary and sufficient conditions for $f:(M,M_0)\to X$ to be a strong $wc$-mapping ($wc$-mapping, $wk$-mapping) where $M$ is a locally separable metric space. Then, we systematically get characterizations of weakly continuous strong $wc$-images ($wc$-images, $wk$-images) of locally separable metric spaces by means of certain networks. Also, we give counterexamples to sharpen some results on images of locally separable metric spaces in the literature.

Keywords: metric space; point-countable; $wcs^*$-network

Classification (MSC2000): 54E35;54E40; 54D99;54E99

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

Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.

© 2015 Mathematical Institute of the Serbian Academy of Science and Arts
© 2015–2016 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition