Refining systems of mad families

DOI10.1007/s11856-024-2626-9MaRDI QIDQ6635455

Wolfgang Wohofsky, Marlene Koelbing, Vera Fischer

Publication date: 12 November 2024

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Generalities in topology (54Axx) Set theory (03Exx) Boolean algebras (Boolean rings) (06Exx)

Cites Work

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• Mathias-Prikry and Laver-Prikry type forcing
• A base-matrix lemma for sets of rationals modulo nowhere dense sets
• The character spectrum of \(\beta \mathbb N\)
• Tree \(\pi\)-bases for \(\beta N-N\) in various models
• Towers in \([\omega^{\omega}\) and \(^{\omega}\omega\)]
• On the spectrum of characters of ultrafilters
• Base tree property
• The spectrum of independence
• Combinatorial Cardinal Characteristics of the Continuum
• Mad families, splitting families and large continuum
• MAD SPECTRA
• The space of ultrafilters on N covered by nowhere dense sets
• A model in which the base-matrix tree cannot have cofinal branches
• σ-Centred Forcing and Reflection of (Sub)Metrizability
• A Sacks amoeba preserving distributivity of $\mathcal {P}(\omega )/\mathrm {fin}$
• The spectrum of characters of ultrafilters on ω
• Short complete nested sequences in βN⧹N and small maximal almost-disjoint families
• Aronszajn trees and the independence of the transfer property
• The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing)
• Towers, mad families, and unboundedness
• Fresh function spectra

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