There may be simple Pℵ1 and Pℵ2-points and the Rudin-Keisler ordering may be downward directed

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Annals of Pure and Applied Logic 33 (C):213-243 (1987)
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10.1016/0168-0072(87)90082-0

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Citations of this work

Special ultrafilters and cofinal subsets of $$({}^omega omega, <^*)$$.Peter Nyikos - 2020 - Archive for Mathematical Logic 59 (7-8):1009-1026.
Splittings.A. Kamburelis & B. W’Glorz - 1996 - Archive for Mathematical Logic 35 (4):263-277.
-Ultrafilters in the Rational Perfect Set Model.Jonathan Cancino-manríquez - 2024 - Journal of Symbolic Logic 89 (1):175-194.

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Proper Forcing.Saharon Shelah - 1985 - Journal of Symbolic Logic 50 (1):237-239.

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