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

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DOI

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 
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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     title = {Further {Results} on {Images} of {Metric} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
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     doi = {10.2298/PIM150219022D},
     language = {en},
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