The Katowice problem and autohomeomorphisms of ω0⁎

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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 - Electrical Engineering, Mathematics and Computer Science)

Harm de Vries (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group

Analysis

Isomorphism Homeomorphism Katowice problem Non-trivial autohomeomorphism Čech–Stone remainder ω0⁎ Ω1⁎ Non-trivial automorphism Quotient algebra P(ω0)/fin P(ω1)/fin

DOI related publication

https://doi.org/10.1016/j.topol.2016.08.006 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:e3b354c7-63ff-4995-ba05-f34691fe2da9

More Info

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Publication Year

2016

Language

English

Research Group

Analysis

Journal title

Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology

Volume number

213

Pages (from-to)

230-237

Downloads counter

110

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.