Tameness, powerful images, and large cardinals
نویسندگان
چکیده
منابع مشابه
Ultrafilters and Large Cardinals
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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A natural question to ask is whether this result has an analogue in the context of large cardinals. The purpose of this article is to provide the strongest such analogue not ruled out by limitations imposed by the existence of Woodin cardinals. To describe the latter limitations we consider the forcing P , described as follows. Let δ be inaccessible and consider the language L(δ): (a) n ∈ R bel...
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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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ژورنال
عنوان ژورنال: Journal of Mathematical Logic
سال: 2020
ISSN: 0219-0613,1793-6691
DOI: 10.1142/s0219061320500245