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

To reference this document use:

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

More Info

expand_more

Published Date

2016

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

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.

Files

9221303_u_katowiceproblem_publ... (pdf)

(pdf | 0.392 Mb)

Download not available