The uniformization property for \(chi_ 2\).

DOI10.1007/BF02762048zbMath0451.03018MaRDI QIDQ1147695

Charles I. Steinhorn, James H. King

Publication date: 1980

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

zbMATH Keywords

iterated forcingdiamondgeneralized continuum hypothesisuniformization propertywell-chosen sequences

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)

Related Items

Diamonds, uniformization, A microscopic approach to Souslin-tree constructions. I., SQUARE WITH BUILT-IN DIAMOND-PLUS, Reflection principles, GCH and the uniformization properties, Less saturated ideals, On guessing generalized clubs at the successors of regulars, Not collapsing cardinals \(\leq\kappa\) in \((<\kappa)\)-support iterations, The failure of diamond on a reflecting stationary set, The monadic theory of \((\omega{}_ 2,<)\) may be complicated, Topological Applications of Generic Huge Embeddings, Two cardinal versions of diamond, A relative of the approachability ideal, diamond and non-saturation, The Ostaszewski square and homogeneous Souslin trees, Putting a diamond inside the square, More on the weak diamond

Cites Work

• Whitehead groups may be not free, even assuming CH. I
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Higher Souslin trees and the generalized continuum hypothesis