An \(\aleph_1\)-dense ideal on \(\aleph_2\)

DOI10.1007/BF02783051zbMath0919.03039OpenAlexW2327445610MaRDI QIDQ1282279

Matthew Foreman

Publication date: 19 August 1999

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

Full work available at URL: https://doi.org/10.1007/bf02783051

zbMATH Keywords

consistencyforcingchromatic numberuniform ultrafilterhuge cardinaluniform measuresuniform ideal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Coloring of graphs and hypergraphs (05C15) Other combinatorial set theory (03E05)

Related Items (8)

Monocolored topological complete graphs in colorings of uncountable complete graphs ⋮ Nonregular ultrafilters on ω₂ ⋮ 2009 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '09 ⋮ GENERIC LARGE CARDINALS AS AXIOMS ⋮ A Forcing Axiom Deciding the Generalized Souslin Hypothesis ⋮ More on regular and decomposable ultrafilters in ZFC ⋮ Laver and set theory ⋮ Combinatorial Dichotomies in Set Theory

Cites Work

• Separating ultrafilters on uncountable cardinals
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Some downwards transfer properties for \(\aleph _ 2\)
• Forcings with ideals and simple forcing notions
• Non-regular ultrafilters
• Forcing closed unbounded sets
• Finest partitions for ultrafilters
• Refinement Properties and Extensions of Filters in Boolean Algebras
• Saturated ideals
• On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers
• Potent Axioms

This page was built for publication: An \(\aleph_1\)-dense ideal on \(\aleph_2\)