Density topology on R is not a Borel subset of its Stone-Čech compactification
type: Item
instance of: scholarly article
title: Density topology on R is not a Borel subset of its Stone-Čech compactification
zbMATH Open document ID: 0583.54015
author: K. C. Goswami
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: R with density topology is known as a pseudo-complete, regularly cocompact, strongly \(\alpha\)-favourable Baire space. It is shown here that it is not a Borel subset of its Stone-Čech compactification. It is also not \(\sigma\)-compact and behaves feebly with Čech- completeness property.
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 54H05
Mathematics Subject Classification ID: 26A03
zbMATH DE Number: 3933996
zbMATH Keywords: density topology
zbMATH Keywords: strongly \(\alpha \) -favourable Baire space
zbMATH Keywords: Borel subset
zbMATH Keywords: Stone-Čech compactification
zbMATH Keywords: Čech-completeness property
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3933996