Some topological spaces which admit a category measure
type: Item
instance of: scholarly article
title: Some topological spaces which admit a category measure
zbMATH Open document ID: 0586.54038
author: J. M. Ayerbe Toledano
published in: Collectanea Mathematica
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/38266
review text: Let X be a topological space. A category measure m on X is a countably additive finite measure defined on the \(\sigma\)-algebra formed by all sets with the Baire property, such that \(m(E)=0\) iff E is of Baire first category. It is known that one can define a density topology on every space of finite measure X such that X becomes a category measure space. Some conditions are given for a topological space to be a category measure space.
Mathematics Subject Classification ID: 54E52
Mathematics Subject Classification ID: 28A12
Mathematics Subject Classification ID: 54C50
zbMATH DE Number: 3940236
zbMATH Keywords: category base
zbMATH Keywords: separable spaces
zbMATH Keywords: category measure
zbMATH Keywords: density topology
zbMATH Keywords: category measure space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3940236