The Katowice problem and autohomeomorphisms of ω0⁎

Chodounský, David; Dow, Alan; Hart, K.P.; de Vries, H.

The Katowice problem and autohomeomorphisms of ω0⁎

Journal article (2016)

Authors

David Chodounský Czech Academy of Sciences and Arts

Alan Dow University of North Carolina

K.P. Hart Analysis -

H. de Vries Analysis -

Research Group

Analysis () (TU Delft)

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

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Published Date

2016

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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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