Universal autohomeomorphisms of N∗
K.P. Hart (TU Delft - Electrical Engineering, Mathematics and Computer Science)
J. van Mill (Universiteit van Amsterdam)
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Abstract
We study the existence of universal autohomeomorphisms of N
*. We prove that the Continuum Hypothesis (CH) implies there is such an auto-homeomorphism and show that there are none in any model where all auto-homeomorphisms of N
* are trivial.