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

Abstract

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

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

Cited by in corpus (1)

• Problems on $\beta \mathbb{N}$