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

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