Games on base matrices

DOI10.1215/00294527-10701451arXiv2203.02581OpenAlexW4382405564MaRDI QIDQ6165011

Vera Fischer, Wolfgang Wohofsky, Marlene Koelbing

Publication date: 28 July 2023

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.02581

zbMATH Keywords

cardinal characteristicstower numberrefining matricesbase matricescofinal branches

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (2)

Base matrices of various heights ⋮ Fresh function spectra

Cites Work

• Tree \(\pi\)-bases for \(\beta N-N\) in various models
• Towers in \([\omega^{\omega}\) and \(^{\omega}\omega\)]
• Generic constructions of small sets of reals
• Base tree property
• Construction with opposition: cardinal invariants and games
• The space of ultrafilters on N covered by nowhere dense sets
• A model in which the base-matrix tree cannot have cofinal branches
• Towers, mad families, and unboundedness

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