A Sacks indestructible co-analytic maximal eventually different family

DOI10.4064/fm842-1-2020zbMath1473.03028arXiv1811.05574OpenAlexW3016644069MaRDI QIDQ5146435

David Schrittesser, Vera Fischer

Publication date: 25 January 2021

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05574

zbMATH Keywords

definabilitySacks indestructibilityeventually different families

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17) Other aspects of forcing and Boolean-valued models (03E40)

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Cites Work

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• Forcing absoluteness and regularity properties
• Uniformity of the meager ideal and maximal cofinitary groups
• Forcing indestructibility of MAD families
• Ideals of independence
• Cofinitary groups, almost disjoint and dominating families
• Proper Forcing
• Combinatorial Cardinal Characteristics of the Continuum
• There is a Van Douwen MAD family
• Mad families, splitting families and large continuum
• Embeddings of infinite permutation groups in sharp, highly transitive, and homogeneous groups
• Happy families
• On a class of m.a.d. families
• Compactness of maximal eventually different families
• Set Theory
• Cofinitary Permutation Groups
• A CO-ANALYTIC COHEN-INDESTRUCTIBLE MAXIMAL COFINITARY GROUP
• The Ramsey property implies no mad families
• Definable maximal independent families
• Analytic and coanalytic families of almost disjoint functions
• Preserving preservation

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