Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Topological properties of partial metric spaces

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PDF (Українська)
Published Apr 25, 2017
DOI https://doi.org/10.15673/tmgc.v9i3-4.318

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Vadym Myronyk
Chernivtsi National University
Volodymyr Mykhaylyuk
Chernivtsi National University

Abstract

We study topological properties of partial metrics and partial metric spaces. In particular, we investigate relations between the regularity of a partial metric space and continuity type properties of the corresponding partial metric. For mappings with values in a partial metric space we obtain an analog of theorem on G_δ-type of set of the continuity points of mapping with values in a metrizable space and an analog of theorem on F_σ-measurability of a semicontinuous function.
Keywords:
Partial metric, partial metric space, semicontinuity, regularity, metrizability.

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How to Cite
Myronyk, V., & Mykhaylyuk, V. (2017). Topological properties of partial metric spaces. Proceedings of the International Geometry Center, 9(3-4). https://doi.org/10.15673/tmgc.v9i3-4.318
Issue
Vol 9 No 3-4 (2016)
Section
Papers

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