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THE UNIQUENESS OF ELEMENTARY EMBEDDINGS

Part of: Set theory

Published online by Cambridge University Press:  13 December 2024

GABRIEL GOLDBERG
GABRIEL GOLDBERG*
Affiliation:
UC BERKELEY, DEPARTMENT OF MATHEMATICS EVANS HALL, UNIVERSITY DRIVE BERKELEY, CA 94720 USA
*
E-mail: ggoldberg@berkeley.edu
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Abstract

Much of the theory of large cardinals beyond a measurable cardinal concerns the structure of elementary embeddings of the universe of sets into inner models. This paper seeks to answer the question of whether the inner model uniquely determines the elementary embedding.

Keywords

large cardinalelementary embeddingstrongly compactUltrapower Axiom

MSC classification

Primary: 03E45: Inner models, including constructibility, ordinal definability, and core models 03E55: Large cardinals

Information

Type
Article
Information
The Journal of Symbolic Logic , Volume 89 , Issue 4 , December 2024 , pp. 1430 - 1454
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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References

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