منابع مشابه
Ultrafilters over a Measurable Cardinal
The extensive theory that exists on ~ca, the set of uitrafilters ov-.r the integers, suggests an analogous study of the family of g-complete ultrafih~rs over a measurable cardinal g > w. This paper is devoted to such a study, with emphasis on those aspects which make the uncountable case interesting and distinctive. Section 1 is a preliminary section, recapitulating some knov, n concepts and re...
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This paper is a survey of basic large cardinal notions, and applications of large cardinal ultrafilters in forcing. The main application presented is the consistent failure of the singular cardinals hypothesis. Other applications are mentioned that involve variants of Prikry forcing, over models of choice and models of determinacy. My talk at the Ultramath conference was about ultrafilters and ...
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Some non-normal κ−complete ultrafilters over a measurable κ with special properties are constructed. Questions by A. Kanamori [4] about infinite Rudin-Frolik sequences, discreteness and products are answered.
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The relationship between the existence of nonregular ultrafilters and large cardinals in the constructible universe is studied.
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We show that the existence of a non-trivial category base on a set of regular cardinality with each subset being Baire is equiconsistent to the existence of a measurable cardinal.
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1973
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-77-3-257-269