Two real ultrafilters on \(\omega\)
type: Item
instance of: scholarly article
title: Two real ultrafilters on \(\omega\)
zbMATH Open document ID: 0951.03043
DOI: 10.1016/S0166-8641(98)00074-1
author: Alan Dow
author: Jinyuan Zhou
published in: Topology and its Applications
publication date: 1999-11-23T00:00:00Z
review text: The authors construct ultrafilters \(p,q\) on \(\omega\) such that (1) every compactification of \(\omega\cup \{p\}\) contains a copy of \(\beta\omega\) and (ii) \(q\) has an almost disjoint refinement \({\mathcal I}\) such that \(\omega\cup{\mathcal I}\cup \{q\}\) is a 0-dimensional scattered space with tightness \(c\).
Mathematics Subject Classification ID: 03E05
Mathematics Subject Classification ID: 54C25
zbMATH DE Number: 1367522
zbMATH Keywords: ultrafilters
zbMATH Keywords: compactification
zbMATH Keywords: almost disjoint refinement
zbMATH Keywords: scattered space
reviewed by: Norbert Brunner
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1367522