On Ginsburg-Isbell derivatives and ranks of metric spaces
type: Item
instance of: scholarly article
title: On Ginsburg-Isbell derivatives and ranks of metric spaces
zbMATH Open document ID: 0558.54020
author: Aarno Hohti
published in: Pacific Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The author considers metric spaces for which there exists a countable ordinal \(\alpha\) such that the \(\alpha\) th successive Ginsburg-Isbell derivative of the metric uniformity contains every open cover of the space. He shows that a separable metric space has this property if, and only if, it is complete and \(\sigma\)-compact.
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E15
zbMATH DE Number: 3890331
zbMATH Keywords: complete \(\sigma \) -compact separable metric space
zbMATH Keywords: \(\alpha \) th successive Ginsburg-Isbell derivative
zbMATH Keywords: metric uniformity
reviewed by: William F. Lindgren
MaRDI profile type: Publication
full work available at URL: pjm.1984.111.39
OpenAlex ID: W2090239688
DOI: 10.2140/PJM.1984.111.39
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description: scientific article; zbMATH DE number 3890331