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
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Jensen%27s_covering_theorem
date created:
date modified: 2023-12-27T09:14:09Z
main entity: {"identifier":"Q6179899","url":"https://www.wikidata.org/entity/Q6179899"}
image:
fields total: 13
integrity: 13

Related Entries

Explore Next Part