On the bounding, splitting, and distributivity numbers

DOI10.14712/1213-7243.2024.001arXiv2202.00372OpenAlexW4392957748MaRDI QIDQ6125072

Alan Dow, Saharon Shelah

Publication date: 11 April 2024

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00372

zbMATH Keywords

cardinal invariants of the continuummatrix forcing

Mathematics Subject Classification ID

Descriptive set theory (03E15)

Cites Work

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• Bounding, splitting, and almost disjointness
• On the cofinality of the splitting number
• Ultrafilters with small generating sets
• Preservation of splitting families and cardinal characteristics of the continuum
• Pseudo P-points and splitting number
• Matrix iterations and Cichon's diagram
• Mad families, splitting families and large continuum
• The consistency of b=κ and s=κ⁺
• Adjoining dominating functions
• The space of ultrafilters on N covered by nowhere dense sets
• Souslin forcing
• COHERENT SYSTEMS OF FINITE SUPPORT ITERATIONS
• Set Theory
• Splitting, Bounding, and Almost Disjointness Can Be Quite Different

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