Some new upper bounds in consistency strength for certain choiceless large cardinal patterns (Q1190617)
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scientific article; zbMATH DE number 55779
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some new upper bounds in consistency strength for certain choiceless large cardinal patterns |
scientific article; zbMATH DE number 55779 |
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Some new upper bounds in consistency strength for certain choiceless large cardinal patterns (English)
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26 September 1992
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Assuming the existence of an almost huge cardinal, Gitik and the author have proved the existence of various models of \(\text{ZF}+\neg\text{AC}_ \omega\) in which large classes of cardinals are singular (e.g. a model of ZF in which all uncountable nonmeasurable cardinals are singular). Using the method of extenders, the author improves these results by weakening the assumption in consistency strength.
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singular cardinals
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almost huge cardinal
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extenders
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consistency strength
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