Successors of Singular Cardinals and Coloring Theorems II
Todd Eisworth, Saharon Shelah
TL;DR
This paper explores advanced partition relations at successors of singular cardinals with countable cofinality, introducing new club-guessing techniques to deepen understanding of combinatorial set theory.
Contribution
It provides new results on negative square-brackets partition relations and develops club-guessing methods for successors of singular cardinals.
Findings
Established new negative partition relations at certain singular cardinals.
Developed novel club-guessing principles applicable to successors of singulars.
Extended combinatorial techniques in set theory.
Abstract
We investigate negative square-brackets partition relations at successors of singular cardinals of countable cofinality. Along the way we prove some club-guessing results.
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Taxonomy
TopicsGraph Labeling and Dimension Problems · Graph theory and applications · Mathematics and Applications