Characterizing weak compactness (Q793718)
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scientific article; zbMATH DE number 3857087
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizing weak compactness |
scientific article; zbMATH DE number 3857087 |
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Characterizing weak compactness (English)
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1984
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Generic extensions are constructed in which the weak compactness of an uncountable regular cardinal K is characterized, as in L, by Souslin's hypothesis and by the stationary reflection property. Supercompactness can be preserved in the extension, and then the weak compactness of K is characterized by the stationary reflection property and by the conjunction of Souslin's hypothesis and not being the successor of a singular cardinal.
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weakly compact cardinal
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Easton forcing
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supercompact cardinal
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Generic extensions
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Souslin's hypothesis
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stationary reflection property
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0.8010834455490112
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0.7975183725357056
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0.7698273658752441
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0.7690069675445557
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