A note on strong negative partition relations

2008/12/19 by Todd Eisworth · 4 citations
Mathematics · Computer Science · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Mathematical and Theoretical Analysis

paper · pdf · doi:10.4064/fm202-2-1

Abstract

We analyze a natural function definable from a scale at a singular cardinal, and use it to obtain some strong negative square-brackets partition relations at successors of singular cardinals. The proof of our main result makes use of club-guessing, and as

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• Successors of Singular Cardinals and Coloring Theorems II
• Club-guessing, stationary reflection, and coloring theorems
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• On idealized versions of \pr₁(μ⁺,μ⁺,μ⁺,\cf(μ))
• Successors of Singular Cardinals

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