Consistently \(\mathcal P(\omega_{1})\) is the union of less than \(2^{\aleph _1}\) strongly independent families

DOI10.1007/S11856-017-1463-5zbMath1453.03054OpenAlexW2595436986MaRDI QIDQ522332

Saharon Shelah, Péter Komjáth

Publication date: 28 April 2017

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

Full work available at URL: https://doi.org/10.1007/s11856-017-1463-5

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (1)

Same graph, different universe

Cites Work

• Unnamed Item
• Set theoretic, measure theoretic, combinatorial, and number theoretic problems concerning point sets in Euclidean space
• Special subsets of \(^{\text{cf}(\mu)}\mu\), Boolean algebras and Maharam measure algebras
• The number of non-isomorphic models of an unstable first-order theory
• Almost-disjoint sets the dense set problem and the partition calculus
• Aronszajn trees and the independence of the transfer property

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