Some applications of short core models (Q1099171)
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scientific article; zbMATH DE number 4039887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some applications of short core models |
scientific article; zbMATH DE number 4039887 |
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Some applications of short core models (English)
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1988
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The author reviews the main properties of short core models (which arise in the study of inner models with a sequence of measurable cardinals) and applies his theory to get estimates on the consistency strength of various combinatorial principles in terms of the existence of inner models with many measurable cardinals. The principles considered include instances of Chang's conjecture, ``accessible'' Jónsson cardinals, the free subset property and a non-closure property of elementary embeddings of the universe.
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consistency strength of combinatorial principles
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short core models
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inner models
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measurable cardinals
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Chang's conjecture
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Jónsson cardinals
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free subset property
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non-closure property of elementary embeddings of the universe
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