More on powers of singular cardinals

DOI10.1007/BF02774143zbMath0645.03048OpenAlexW2041659058MaRDI QIDQ1102951

Saharon Shelah

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf02774143

zbMATH Keywords

rankssingular cardinalsnormal ultrafilterscardinal exponentiation

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Ordinal and cardinal numbers (03E10) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (8)

Remarks in abstract model theory ⋮ Products of regular cardinals and cardinal invariants of products of Boolean algebras ⋮ Successors of singulars, cofinalities of reduced products of cardinals and productivity of chain conditions ⋮ Cardinal arithmetic for skeptics ⋮ Singular Cardinals and the PCF Theory ⋮ On weakly precipitous filters ⋮ Shelah's pcf theory and its applications ⋮ A note on the revised GCH

Cites Work

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• Combinatorial set theory: Partition relations for cardinals
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• Proper forcing
• Better quasi-orders for uncountable cardinals
• On a theorem of Silver
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• On the singular cardinals problem. I
• On the singular cardinals problem. II
• Classification theory and the number of non-isomorphic models
• A note on cardinal exponentiation
• The covering lemma for K
• Chang's conjecture and powers of singular cardinals
• Ideals over uncountable sets: application of almost disjoint functions and generic ultrapowers
• The Pigeon-Hole Principle for Ordinal Numbers

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