Results 271 to 280 of about 36,156 (297)

On certain indestructibility of strong cardinals and a question of Hajnal

Archive for Mathematical Logic, 1989
In this paper the authors solve a question of Hajnal. Starting with a model with n strong cardinals they construct a model satisfying the following: for some cardinal \(\lambda\), \(\lambda
Moti Gitik, Saharon Shelah
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A strong partition cardinal above $$\varTheta $$ Θ

Archive for Mathematical Logic, 2017
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Supercompactness and measurable limits of strong cardinals

Journal of Symbolic Logic, 2001
AbstractIn this paper, two theorems concerning measurable limits of strong cardinals and supercompactness are proven. This generalizes earlier work, both individual and joint with Shelah.
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Chapter 8: One Strong Cardinal

2002
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A strong sequential optimality condition for cardinality-constrained optimization problems

Numerical Algorithms, 2022
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Menglong Xue, Liping Pang
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Identity crises and strong compactness III: Woodin cardinals

Archive for Mathematical Logic, 2005
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Arthur W. Apter, Grigor Sargsyan
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A measure representation theorem for strong partition cardinals

Journal of Symbolic Logic, 1982
There are two main axiomatic extensions of Zermelo-Fraenkel set theory without the axiom of choice, that associated with the axiom of determinateness, and that associated with infinite exponent partition relations. Initially, the axiom of determinateness, henceforth AD, was the sole tool available.
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Strong partition cardinals and determinacy in $${K(\mathbb{R})}$$ K ( R )

Archive for Mathematical Logic, 2014
\textit{A. S. Kechris} and \textit{W. H. Woodin} [in: Games, scales, and Suslin cardinals. The Cabal Seminar, Vol. I. Reprints of papers and new material based on the Los Angeles Caltech-UCLA Logic Cabal Seminar 1976--1985. Cambridge: Cambridge University Press; Urbana, IL: Association for Symbolic Logic (ASL).
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The Strong Reflecting Property for L-Cardinals

2019
In this chapter, I develop the full theory of the strong reflecting property for L-cardinals and characterize \(\mathsf{SRP}^{L}(\omega _n)\) for \(n\in \omega \) (cf. Propositions 6.7, 6.8 and Theorem 6.2). I also generalize some results on \(\mathsf{SRP}^{L}(\gamma )\) to \(\mathsf{SRP}^{M}(\gamma )\) for other inner models M (see Theorems 6.1 and 6 ...
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Bounded Martin’s Maximum and Strong Cardinals

2006
We show that if Bounded Martin’s Maximum (BMM) holds then for every X ∈ V there is an inner model with a strong cardinal containing X. We also discuss various open questions which are related to BMM.
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