Equivalence among hypertopologies
type: Item
instance of: scholarly article
title: Equivalence among hypertopologies
zbMATH Open document ID: 0839.54010
DOI: 10.1007/BF01026245
author: Roberto Lucchetti
author: Ľubica Holá
published in: Set-Valued Analysis
publication date: 1996-06-19T00:00:00Z
review text: The authors study conditions under which the ball, proximal-ball and Wijsman topologies coincide pairwise. This is useful since these topologies are close to each other. It is well known that many hypertopologies depend on the metric of the base space and so the authors provide conditions under which two equivalent metrics induce the same hypertopology. They also give examples of nonregular ball and proximal-ball topologies.
Mathematics Subject Classification ID: 54B20
zbMATH DE Number: 851455
zbMATH Keywords: Wijsman topology
zbMATH Keywords: ball topology
zbMATH Keywords: proximal-ball topology
zbMATH Keywords: \(d\)-inclusion
zbMATH Keywords: \(d\)-strict inclusion
zbMATH Keywords: metric space
zbMATH Keywords: hypertopologies
reviewed by: S. Naimpally
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01026245
OpenAlex ID: W1996594979
description: scientific article; zbMATH DE number 851455