Geodesic
Further Results on Images of Metric Spaces
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 179 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
DOI : 10.2298/PIM150219022D
Classification : 54E35;54E40 54D99;54E99
Keywords: metric space, point-countable, $wcs^*$-network 
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Nguyen Van Dung. Further Results on Images of Metric Spaces. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 179 . doi : 10.2298/PIM150219022D. http://geodesic.mathdoc.fr/articles/10.2298/PIM150219022D/

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