Publications de l'Institut Mathématique, Nouvelle Série Vol. 98(112), pp. 271–279 (2015) 

On the metrizability of TVScone metric spacesShou Lin, Kedian Li, Ying GeDepartment of Mathematics, Ningde Normal University, Ningde, P. R. China; Department of Mathematics, Zhangzhou Normal University, Zhangzhou, P. R. China; School of Mathematical Sciences, Soochow University, Suzhou, P. R. ChinaAbstract: Metric spaces are cone metric spaces, and cone metric spaces are TVScone metric spaces. We prove that TVScone metric spaces are paracompact. A metrization theorem of TVScone metric spaces is obtained by a purely topological tools. We obtaine that a homeomorphism $f$ of a compact space is expansive if and only if $f$ is TVScone expansive. In the end, for a TVScone metric topology, a concrete metric generating the topology is constructed. Keywords: Stone's method; TVScone metric space; paracompact; metrizable; TVScone expansive homeomorphism Classification (MSC2000): 54D20;54E35;46A19; 54E99;54H20 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.
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