Singular sets and Baire order
type: Item
instance of: scholarly article
title: Singular sets and Baire order
zbMATH Open document ID: 0579.54021
author: Jack Brown
published in: Real Analysis Exchange
publication date: 1985-01-01T00:00:00Z
review text: The property of subsets X of reals to have countable Baire order (i.e. the procedure of forming \(G_{\delta}\)-sets, \(G_{\delta \sigma}\)-sets, etc. in X stops at a countable ordinal) is included into a diagram of implications between other singular properties of subsets of reals. It is stated that every set having countable Baire order is an \((S)_ 0\)-set. Several open questions are posed.
Mathematics Subject Classification ID: 54E52
zbMATH DE Number: 3927882
zbMATH Keywords: countable Baire order
reviewed by: M. Hušek
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3927882