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On topological properties of metrics defined via generalized ``linking construction'' - MaRDI portal

On topological properties of metrics defined via generalized ``linking construction'' (Q1689507)

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scientific article; zbMATH DE number 6825473
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On topological properties of metrics defined via generalized ``linking construction''
scientific article; zbMATH DE number 6825473

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    On topological properties of metrics defined via generalized ``linking construction'' (English)
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    12 January 2018
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    Summary: We analyze topological properties of metric spaces obtained by using Száz's construction, which we used to call generalized ``linking construction.'' In particular, we provide necessary and sufficient conditions for completeness of metric spaces obtained in this way. Moreover, we examine the relation between Száz's construction and the ``linking construction.'' A particular attention is drawn to the ``floor'' metric, the analysis of which provides some interesting observations.
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