Weakly normal filters and large cardinals
نویسندگان
چکیده
منابع مشابه
Weakly Normal Filters and Irregular Ultrafilters
For a filter over a regular cardinal, least functions and the consequent notion of weak normality are described. The following two results, which make a basic connection between the existence of least functions and irregularity of ultrafilters, are then proved: Let U be a uniform ultrafilter over a regular cardinal k. (a) If k = \+, then U is not (\, \ )-regular iff V has a least function / suc...
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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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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1992
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496161977