Neighborhood assignments and cardinal functions: a unified approach to metrization and uniformity
type: Item
instance of: scholarly article
title: Neighborhood assignments and cardinal functions: a unified approach to metrization and uniformity
zbMATH Open document ID: 0928.54002
DOI: 10.1016/S0166-8641(97)00192-2
published in: Topology and its Applications
publication date: 2000-01-09T00:00:00Z
review text: The author generalizes many notions from (generalized) metrizability theory to higher cardinals and thus obtains various characterizations, in terms of neighborhood assignments, of the metrizability degree. He then goes on to do similar things for the uniform and proximal weight of spaces. On occasion this reveals connections between known metrization theorems.
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E05
Mathematics Subject Classification ID: 54E30
Mathematics Subject Classification ID: 54D15
zbMATH DE Number: 1307918
zbMATH Keywords: cardinal functions
zbMATH Keywords: metrizability degree
zbMATH Keywords: uniform weight
zbMATH Keywords: proximity
zbMATH Keywords: metrization theorems
author: Richard E. Hodel
reviewed by: K. P. Hart
MaRDI profile type: Publication
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full work available at URL: s0166-8641(97)00192-2
OpenAlex ID: W2000024801
description: scientific article; zbMATH DE number 1307918