Open AccessCompactness and local compactness of the proximal hyperspace
Author(s) -
Marco Rosa
Publication year - 2016
Publication title -
hacettepe journal of mathematics and statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.312
H-Index - 26
ISSN - 1303-5010
DOI - 10.15672/hjms.20164515689
Subject(s) - hyperspace , compact space , mathematics , pure mathematics , topology (electrical circuits) , combinatorics
Compactness and local compactness of the hyperspace endowed with both the Vietoris topology and the Hausdorff metric topology, have been characterized by Costantini, Levi and Pelant. Our aim is to characterize these two properties for the proximal topology, which is related to both of the previous topologies.
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