On the solution of a problem of Okuyama
type: Item
instance of: scholarly article
title: On the solution of a problem of Okuyama
zbMATH Open document ID: 0612.54023
author: I. P. Patsej
published in: Moscow University Mathematics Bulletin
publication date: 1986-01-01T00:00:00Z
review text: \textit{A. Okuyama} [Pac. J. Math. 42, 485-495 (1972; Zbl 0219.54018)] asked whether every perfect \(\Sigma^{\#}\)-space is a \(\Sigma\)-space. The author shows that every perfect strong \(\Sigma^{\#}\)-space is a strong \(\Sigma\)-space, which gives under MA\(+\neg CH\) a positive answer to the above question.
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 3990343
zbMATH Keywords: closed \(\sigma \)-conservative cover \(T_ 0\)-separating the points
zbMATH Keywords: perfect strong \(\Sigma ^{\#}\)-space
zbMATH Keywords: \(\Sigma \)-space
zbMATH Keywords: \(MA+\neg CH\)
reviewed by: M. Hušek
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3990343