Strong proximities on smooth manifolds and Voronoï diagrams (Q266724)

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scientific article; zbMATH DE number 6568334
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Strong proximities on smooth manifolds and Voronoï diagrams
scientific article; zbMATH DE number 6568334

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    Strong proximities on smooth manifolds and Voronoï diagrams (English)
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    13 April 2016
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    strong proximity
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    second countability
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    smooth manifolds
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    Voronoï diagrams
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    The article contributes to the study of strong proximities. That notion is characterized by a relation giving information about pairs of sets that have points in common. A result about second-countability of the strongly hit and far-miss topology on a family of subsets on the Lodato proximity space of regular open sets to which singletons are added is stated.NEWLINENEWLINEAfter a discussion of connections of their topic with descriptive proximities, the authors treat proximal and strongly proximal manifolds as well as strongly proximal Voronoï regions. The paper ends with a section on proximal Voronoï manifolds, atlases and charts.
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