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arXiv · 2108.12906

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

Klaas Pieter Hart·Jan van Mill
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Abstract

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

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Klaas Pieter Hart, Jan van Mill. 2021-08-29. Universal autohomeomorphisms of $\mathbb{N}^*$. https://doi.org/10.1090/bproc%2F106

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