The Rudin-Keisler ordering of 𝑃-points

Blass, Andreas

doi:10.1090/S0002-9947-1973-0354350-6

The Rudin-Keisler ordering of $P$-points
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Trans. Amer. Math. Soc. 179 (1973), 145-166 Request permission

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 $\beta \omega - \omega$.

References

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