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arXiv · 2303.14252

Long chains in the Rudin-Frol\'ik order for uncountable cardinals

Klaas Pieter Hart
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Abstract

We point out that a construction by Butkovi\v{c}ov\'a of a chain of length $\mathfrak{c}^+$ in the Rudin-Frol\'ik order on $\beta\omega$ can easily be adapted to produce, given an uncountable cardinal $\kappa$, a chain of length $(2^\kappa)^+$ in the Rudin-Frol\'ik order on $\beta\kappa$.

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Klaas Pieter Hart. 2023-03-24. Long chains in the Rudin-Frol\'ik order for uncountable cardinals. https://arxiv.org/abs/2303.14252

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