Universal autohomeomorphisms of ℕ*

Hart, Klaas Pieter; van Mill, Jan

doi:10.1090/bproc/106

Universal autohomeomorphisms of $\mathbb {N}^*$
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by Klaas Pieter Hart and Jan van Mill HTML | PDF

Proc. Amer. Math. Soc. Ser. B 9 (2022), 71-74

Abstract:

We study the existence of universal autohomeomorphisms of $\mathbb {N}^*$. We prove that the Continuum Hypothesis ($\mathsf {CH}$) 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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