Publications de l'Institut Mathématique, Nouvelle SérieVol. 98(112), pp. 179–191 (2015)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 98(112), pp. 179–191 (2015) |
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Further results on images of metric spacesNguyen Van DungFaculty of Mathematics and Information Technology Teacher Education, Dong Thap University, Cao Lanh City, Dong Thap Province, Viet NamAbstract: 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
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