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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.
The Journal of Analysis – Springer Journals
Published: Mar 1, 2023
Keywords: Round metric; Sleek metric; Convexity; Linear metric space; Primary 54E35; 46A55; 52A07; 46B20
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