When is a Volterra space Baire?
type: Item
instance of: scholarly article
title: When is a Volterra space Baire?
zbMATH Open document ID: 1115.54010
author: Jiling Cao
author: Heikki J. K. Junnila
published in: Topology and its Applications
publication date: 2007-02-09T00:00:00Z
review text: A space \(X\) is called a Volterra space if any two dense G\(_\delta\)-sets of \(X\) are dense in \(X\). As it is well-known, Baire spaces are Volterra. As for the reverse relation, Gruenhage and Lutzer proposed several problems. The authors answers them ``affirmatively'' in this paper. The main results are as follows: A Volterra space \(X\) is Baire if (1) \(X\) is a stratifiable space (Theorem 2.5), or (2) if \(X\) is a locally convex topological vector space (Theorem 3.4).
reviewed by: Takemi Mizokami
Mathematics Subject Classification ID: 54E52
Mathematics Subject Classification ID: 46A03
Mathematics Subject Classification ID: 54E20
Mathematics Subject Classification ID: 54F65
Mathematics Subject Classification ID: 54H11
zbMATH DE Number: 5123636
zbMATH Keywords: Baire
zbMATH Keywords: monotonically normal
zbMATH Keywords: resolvable
zbMATH Keywords: stratifiable
zbMATH Keywords: simultaneously separated
zbMATH Keywords: Volterra
zbMATH Keywords: weak topology
MaRDI profile type: Publication
full work available at URL: j.topol.2006.05.009
OpenAlex ID: W2032684535
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DOI: 10.1016/J.TOPOL.2006.05.009
description: scientific article; zbMATH DE number 5123636