Journal of the Mathematical Society of Japan

On the level by level equivalence between strong compactness and strongness

Arthur W. APTER

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Abstract

We construct a model in which the least strongly compact cardinal κ is also the least strong cardinaj κ isn't 2κ supercompact, and for any δ<κ, if δ+α is regular, δ is δ+α strongly compact if and only if δ is δ+α+1 strong.

Article information

Source
J. Math. Soc. Japan, Volume 55, Number 1 (2003), 47-58.

Dates
First available in Project Euclid: 5 December 2007

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1196890841

Digital Object Identifier
doi:10.2969/jmsj/1196890841

Mathematical Reviews number (MathSciNet)
MR1939184

Zentralblatt MATH identifier
1029.03038

Subjects
Primary: 03E35: Consistency and independence results 03E55: Large cardinals

Citation

W. APTER, Arthur. On the level by level equivalence between strong compactness and strongness. J. Math. Soc. Japan 55 (2003), no. 1, 47--58. doi:10.2969/jmsj/1196890841. https://projecteuclid.org/euclid.jmsj/1196890841


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