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arXiv · 1307.3930

The Katowice problem and autohomeomorphisms of $\omega^*$

David Chodounsky·Alan Dow·Klaas Pieter Hart·Harm de Vries
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Abstract

We show that the existence of a homeomorphism between $\omega_0^*$ and $\omega_1^*$ entails the existence of a non-trivial autohomeomorphism of $\omega_0^*$.

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David Chodounsky, Alan Dow, Klaas Pieter Hart, Harm de Vries. 2013-07-15. The Katowice problem and autohomeomorphisms of $\omega^*$. https://doi.org/10.1016/j.topol.2016.08.006

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