On a certain class of complete regularity
type: Item
instance of: scholarly article
title: On a certain class of complete regularity
zbMATH Open document ID: 0601.54022
DOI: 10.1007/BF01949140
author: B. George
published in: Acta Mathematica Hungarica
publication date: 1986-01-01T00:00:00Z
review text: Given two topological spaces X and E, X is said to be E-completely regular if X is homeomorphic to a subspace of \(E^ m\) for some cardinal m. \({\mathfrak C}(E)\) represents the class of all E-complete regular spaces, and it is said to be a class of complete regularity. Let T be the space consisting of the points 0, 1, 2 where \(\{\) \(0\}\) and \(\{\) 1,2\(\}\) are the only proper open subsets. Theorem. \({\mathfrak C}(T)\) is the class of all zero-dimensional spaces.
Mathematics Subject Classification ID: 54D15
Mathematics Subject Classification ID: 54F50
zbMATH DE Number: 3969644
zbMATH Keywords: E-complete regular spaces
zbMATH Keywords: class of all zero-dimensional spaces
MaRDI profile type: Publication
cites work: Further results on E-compact spaces. I
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description: scientific article; zbMATH DE number 3969644