A partition relation using strongly compact cardinals

2001/03/24 by Saharon Shelah, Shelah, Saharon
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.math/0103155

published as Proc. Amer. Math. Soc. 131 No. 8 (2003) 2585--2592

arxiv created 2001/03/24 · arxiv updated 2009/11/30

Abstract

If kappa is strongly compact, lambda > kappa is regular, then (2^{< lambda})⁺ --> (lambda+eta)²_theta holds for eta,theta<kappa.

Related

• Positive partition relations for P_kappa,lambda
• Compactness versus hugeness at successor cardinals
• Consistency of partition relation for cardinal in (lambda,2^lambda)
• Productivity of [μ, λ]-compactness
• Bounds on the cardinality of partition