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Decreasing chains without lower bounds in the Rudin-Frolík order

Author: Eva Butkovičová
Journal: Proc. Amer. Math. Soc. 109 (1990), 251-259
MSC: Primary 04A20; Secondary 54A25
MathSciNet review: 1007490
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Abstract: We prove that for every uncountable cardinal less than continuum there exists a chain in the Rudin-Frolík order of $ \beta \omega - \omega $ isomorphic to the inverse order of this cardinal and without a lower bound.

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Keywords: Ultrafilter, Rudin-Frolík order, independent family
Article copyright: © Copyright 1990 American Mathematical Society

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