The Katowice problem and autohomeomorphisms of ω0⁎
Journal Article
(2016)
Author(s)
David Chodounský (Czech Academy of Sciences and Arts)
Alan Dow (University of North Carolina)
Klaas Pieter Hart (TU Delft - Analysis)
Harm de Vries (TU Delft - Analysis)
Research Group
Analysis
DOI related publication
https://doi.org/10.1016/j.topol.2016.08.006
To reference this document use:
https://resolver.tudelft.nl/uuid:e3b354c7-63ff-4995-ba05-f34691fe2da9
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Publication Year
2016
Language
English
Research Group
Analysis
Volume number
213
Pages (from-to)
230-237
Abstract
We show that the existence of a homeomorphism between ω0⁎ and ω1⁎ entails the existence of a non-trivial autohomeomorphism of ω0⁎. This answers Problem 441 in [8]. We also discuss the joint consistency of various consequences of ω0⁎ and ω1⁎ being homeomorphic.
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