Jensen's covering theorem
id:
jensen-s-covering-theorem-251-16131491
title:
Jensen's covering theorem
text:
In set theory, Jensen's covering theorem states that if 0# does not exist then every uncountable set of ordinals is contained in a constructible set of the same cardinality. Informally this conclusion says that the constructible universe is close to the universe of all sets. The first proof appeared in. Silver later gave a fine-structure-free proof using his machines and finally MagidorĀ (1990) gave an even simpler proof. The converse of Jensen's covering theorem is also true: if 0# exists then t
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https://en.wikipedia.org/wiki/Jensen%27s_covering_theorem
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date modified:
2023-12-27T09:14:09Z
main entity:
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13
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