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  • Universal autohomeomorphism...
    Hart, Klaas Pieter; van Mill, Jan

    Proceedings of the American Mathematical Society. Series B, 3/2022, Volume: 9, Issue: 8
    Journal Article

    We study the existence of universal autohomeomorphisms of N ∗ \mathbb {N}^* . We prove that the Continuum Hypothesis ( C H \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.