Universal autohomeomorphisms of N∗

Journal article (2022)

Authors

K.P. Hart Analysis - EEMCS
J. van Mill Universiteit van Amsterdam
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2022 K.P. Hart, J. van Mill
DOI: https://doi.org/10.1090/bproc/106
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Published Date

2022

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

We study the existence of universal autohomeomorphisms of N
*. We prove that the Continuum Hypothesis (CH) implies there is such an auto-homeomorphism and show that there are none in any model where all auto-homeomorphisms of N
* are trivial.