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Metrically round and sleek metric spaces

Metrically round and sleek metric spaces A round metric space is the one in which the closure of each open ball is the corresponding closed ball. By a sleek metric space, we mean a metric space in which the interior of each closed ball is the corresponding open ball. In this article, we establish some results on round metric spaces and sleek metric spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Metrically round and sleek metric spaces

The Journal of Analysis , Volume 31 (1) – Mar 1, 2023

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References (15)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to The Forum D’Analystes 2022
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-022-00459-1
Publisher site
See Article on Publisher Site

Abstract

A round metric space is the one in which the closure of each open ball is the corresponding closed ball. By a sleek metric space, we mean a metric space in which the interior of each closed ball is the corresponding open ball. In this article, we establish some results on round metric spaces and sleek metric spaces.

Journal

The Journal of AnalysisSpringer Journals

Published: Mar 1, 2023

Keywords: Round metric; Sleek metric; Convexity; Linear metric space; Primary 54E35; 46A55; 52A07; 46B20

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