The Katowice problem and autohomeomorphisms of ω^*
classification
🧮 math.GN
math.LO
keywords
omegaexistenceautohomeomorphismautohomeomorphismsentailshomeomorphismkatowicenon-trivial
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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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