Projective completeness and projective classes of spaces
type: Item
instance of: scholarly article
title: Projective completeness and projective classes of spaces
zbMATH Open document ID: 0652.54006
author: Sergey Svetlichny
published in: Moscow University Mathematics Bulletin
publication date: 1988-01-01T00:00:00Z
review text: Productivity of (\({\mathcal P},{\mathcal R},{\mathcal F})\)-projective classes is investigated (\({\mathcal P},{\mathcal R}\) are classes of topological spaces, \({\mathcal F}\) is a class of mappings; X is (\({\mathcal P},{\mathcal R},{\mathcal F})\)-projective if Y belongs to \({\mathcal R}\) whenever \(Y\in {\mathcal P}\) and there is \(f: X\to Y\), \(f\in {\mathcal F}\), as defined by \textit{A. V. Arkhangel'skij} [Vestn. Mosk. Univ., Ser. I 1983, No.6, 4-9 (1983; Zbl 0544.54014)]. In the paper, \({\mathcal P}\) are classes close to metrizable spaces, \({\mathcal R}\) close to Čech-complete spaces and \({\mathcal F}\) close to open maps.
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54E52
zbMATH DE Number: 4064015
zbMATH Keywords: projectively complete space
reviewed by: M. Hušek
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4064015