Semi-stratifiable spaces and the insertion of semi-continuous functions
type: Item
instance of: scholarly article
title: Semi-stratifiable spaces and the insertion of semi-continuous functions
zbMATH Open document ID: 1117.54041
author: Er-Guang Yang
author: Peng-Fei Yan
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-12T00:00:00Z
review text: The autors give characterizations of perfect spaces, semi-stratifiable spaces and K-semi-stratifiable spaces in the sense of G.D. Creede in terms of mappings \(\phi: LSC(X)\to USC(X),\;UKL(X)\) with the corresponding properties, where \(LSC(X),\;USC(X)\) denote the set of all real valued semi-continuous, upper semi-continuous mappings, respectively, from \(X\) to \([0,1]\), and \(UKL(X)\) the set of all real-valued upper and K-lower semi-continuous functions from \(X\) to \([0,1]\).
reviewed by: Takemi Mizokami
Mathematics Subject Classification ID: 54E20
Mathematics Subject Classification ID: 54C30
zbMATH DE Number: 5124079
zbMATH Keywords: semi-stratifiable
zbMATH Keywords: K-semi-stratifiable
zbMATH Keywords: semi-continuous
zbMATH Keywords: K-semi-continuous
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.05.043
OpenAlex ID: W1976968181
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cites work: Continuous function characterizations of stratifiable spaces
cites work: Continuous selections. I
cites work: Boundedness Properties in Function-Lattices
cites work: Q4150804
DOI: 10.1016/J.JMAA.2006.05.043
description: scientific article; zbMATH DE number 5124079