Strong independence and its spectrum

DOI10.1016/j.aim.2023.109206arXiv2103.04063OpenAlexW3135871871MaRDI QIDQ6135861

Monroe Eskew, Vera Fischer

Publication date: 28 August 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04063

zbMATH Keywords

consistencyspectrumlarge cardinalscombinatorial cardinal characteristicsindependent familieshigher Baire spaces

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Cardinal characteristics of the continuum (03E17)

Related Items (1)

HIGHER INDEPENDENCE

Cites Work

• Fragility and indestructibility. II
• More on simple forcing notions and forcings with ideals
• Forcings with ideals and simple forcing notions
• Calculating quotient algebras of generic embeddings
• Ideals of independence
• Ideals and Generic Elementary Embeddings
• Maximal σ-independent families
• Morasses, diamond, and forcing
• Perfect-set forcing for uncountable cardinals
• Refinement Properties and Extensions of Filters in Boolean Algebras
• On ideals of sets and the power set operation
• Saturated ideals
• On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers
• Set Theory
• Extensions with the approximation and cover properties have no new large cardinals
• HIGHER INDEPENDENCE

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