A new proof of Kunen’s inconsistency-Reference-Cited by-同舟云学术

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A new proof of Kunen’s inconsistency

Published:1996 Issue:7 Volume:124 Page:2203-2204
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Zapletal Jindrich

Abstract

Using a basic fact from Shelah’s theory of possible cofinalities, we give a new proof of Kunen’s inconsistency theorem: there is no nontrivial elementary embedding of the set-theoretical universe into itself.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-07/S0002-9939-96-03281-9/S0002-9939-96-03281-9.pdf

Reference6 articles.

1. [B] D. Burke, Splitting stationary sets, preprint.

2. [H] M. Harada, Another proof for Kunen’s theorem, preprint.

3. [J1] T. Jech, Set Theory, Academic Press, New York, 1978.

4. On the cofinality of countable products of cardinal numbers;Jech, Thomas,1990

5. Elementary embeddings and infinitary combinatorics;Kunen, Kenneth;J. Symbolic Logic,1971

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generalizations of the Kunen inconsistency;Annals of Pure and Applied Logic;2012-12

2. Guessing models and generalized Laver diamond;Annals of Pure and Applied Logic;2012-11

3. Kunen and set theory;Topology and its Applications;2011-12

4. Ideals and Generic Elementary Embeddings;Handbook of Set Theory;2009-12-10

5. Jonsson-like partition relations and j: V → V;Journal of Symbolic Logic;2004-12

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