Levy and set theory

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• 作者：Akihiro Kanamori
• 关键词：Levy collapse ; Levy hierarchy ; Levy absoluteness ; Relative constructibility ; Reflection principles ; Ackermann’ ; s set theory ; Urelements ; Fraenkel– ; Mostowski method ; Forcing ; Measurable cardinals ; Indescribable cardinals.
• 刊名：Annals of Pure and Applied Logic
• 出版年：2006
• 出版时间：July 2006
• 年：2006
• 卷：140
• 期：1-3
• 页码：233-252
• 全文大小：400 K

文摘

Azriel Levy (1934–) did fundamental work in set theory when it was transmuting into a modern, sophisticated field of mathematics, a formative period of over a decade straddling Cohen’s 1963 founding of forcing. The terms “Levy collapse”, “Levy hierarchy”, and “Levy absoluteness” will live on in set theory, and his technique of relative constructibility and connections established between forcing and definability will continue to be basic to the subject. What follows is a detailed account and analysis of Levy’s work and contributions to set theory.