TL;DR
This paper proves a set-theoretic result showing that under certain conditions involving stationary sets and cofinalities, the diamond principle at a cardinal lambda holds.
Contribution
It establishes new conditions under which the diamond principle is valid at a specific cardinal, expanding understanding of combinatorial set theory.
Findings
Diamond principle holds under specified stationary set conditions.
Conditions involve cofinalities and stationary subsets.
Results contribute to combinatorial set theory and cardinal characteristics.
Abstract
We prove, e.g., that if lambda=chi^+=2^chi and S subseteq {delta<lambda:cf(delta) neq cf(chi)} is stationary then diamondsuit_lambda holds true.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Mathematical Dynamics and Fractals · Functional Equations Stability Results