English

Universal autohomeomorphisms of $\mathbb{N}^*$

General Topology 2022-04-08 v2 Logic

Abstract

We study the existence of universal autohomeomorphisms of N\mathbb{N}^*. We prove that CH\mathsf{CH} implies there is such an autohomeomorphism and show that there are none in any model where all autohomeomorphisms of N\mathbb{N}^* are trivial.

Keywords

Cite

@article{arxiv.2108.12906,
  title  = {Universal autohomeomorphisms of $\mathbb{N}^*$},
  author = {Klaas Pieter Hart and Jan van Mill},
  journal= {arXiv preprint arXiv:2108.12906},
  year   = {2022}
}

Comments

Version 2: some corrections and additions after a referee's report

R2 v1 2026-06-24T05:30:32.020Z