On strong chains of uncountable functions

DOI10.1007/BF02803525zbMath0961.03039MaRDI QIDQ1580508

Piotr Koszmider

Publication date: 25 January 2001

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

zbMATH Keywords

consistencyc.c.c. forcingmorassesforcing with side conditionswell-ordered chains

Mathematics Subject Classification ID

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

Related Items (15)

Projections in Weakly Compactly Generated Banach Spaces and Chang's Conjecture ⋮ MITCHELL-INSPIRED FORCING, WITH SMALL WORKING PARTS AND COLLECTIONS OF MODELS OF UNIFORM SIZE AS SIDE CONDITIONS, AND GAP-ONE SIMPLIFIED MORASSES ⋮ On constructions with 2-cardinals ⋮ Two applications of finite side conditions at \(\omega _2\) ⋮ On strong chains of sets and functions ⋮ Forcing with adequate sets of models as side conditions ⋮ The short extenders gap three forcing using a morass ⋮ More results in polychromatic Ramsey theory ⋮ Separating club-guessing principles in the presence of fat forcing axioms ⋮ 𝐼[𝜔₂ can be the nonstationary ideal on 𝐶𝑜𝑓(𝜔₁)] ⋮ Morasses and finite support iterations ⋮ Thin-very tall compact scattered spaces which are hereditarily separable ⋮ Forcings constructed along morasses ⋮ Forcing consequences of $PFA$ together with the continuum large ⋮ Adding closed unbounded subsets of \(\omega_2\) with finite forcing

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• Morasses, diamond, and forcing
• Simplified morasses
• Directed Sets and Cofinal Types
• Remarks on Martin's Axiom and the Continuum Hypothesis
• Partition Problems in Topology
• Almost-disjoint sets the dense set problem and the partition calculus
• On the existence of strong chains in ℘(ω₁)/Fin
• The fine structure of the constructible hierarchy

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