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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



The Rudin-Keisler ordering of $ P$-points

Author: Andreas Blass
Journal: Trans. Amer. Math. Soc. 179 (1973), 145-166
MSC: Primary 02H20; Secondary 04A20
MathSciNet review: 0354350
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Abstract: The Stone-Čech compactification $ \beta \omega $ of the discrete space $ \omega $ of natural numbers is weakly ordered by the relation ``D is the image of E under the canonical extension $ \beta f:\beta \omega \to \beta \omega $ of some map $ f:\omega \to \omega $.'' We shall investigate the structure, with respect to this ordering, of the set of P-points of $ \beta \omega - \omega $.

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Keywords: Ultrafilter, P-point, Rudin-Keisler ordering, nonstandard model, ultrapower, elementary embedding, cofinal submodel, Martin axiom
Article copyright: © Copyright 1973 American Mathematical Society

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