Refining systems of mad families

Refining systems of mad families

We construct a model in which there exists a refining matrix of regular height λ larger than h ; both λ = c and λ < c are possible. A refining matrix is a refining system of mad families without common refinement. Of particular interest in our proof is the preservation of ℬ -Canjarness.

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Veröffentlicht in:Israel journal of mathematics 2024, Vol.262 (1), p.191-234
Hauptverfasser: Fischer, Vera, Koelbing, Marlene, Wohofsky, Wolfgang
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Refining
Theoretical
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Zusammenfassung:We construct a model in which there exists a refining matrix of regular height λ larger than h ; both λ = c and λ < c are possible. A refining matrix is a refining system of mad families without common refinement. Of particular interest in our proof is the preservation of ℬ -Canjarness.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-024-2626-9