Abstract
We show that there is an intimate connection between the Rudin-Keisler order on the Stone-Čech compactification ßX of the discrete space X and the so-called Puritz order on a nonstandard model *X. Furthermore it is shown that the S-topology of an ultrapower model with respect to a free ultrafilter over the natural numbers is pseudocompact but not countably compact.
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© 2001 Springer Science+Business Media Dordrecht
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Ng, SA., Render, H. (2001). The Puritz Order and Its Relationship to the Rudin-Keisler Order. In: Schuster, P., Berger, U., Osswald, H. (eds) Reuniting the Antipodes — Constructive and Nonstandard Views of the Continuum. Synthese Library, vol 306. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9757-9_14
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DOI: https://doi.org/10.1007/978-94-015-9757-9_14
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