Cardinal arithmetic for skeptics

DOI10.1090/S0273-0979-1992-00261-6zbMath0771.03017arXivmath/9201251WikidataQ56483114 ScholiaQ56483114MaRDI QIDQ4005807

Saharon Shelah

Publication date: 27 September 1992

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9201251

zbMATH Keywords

ultrafilterregular cardinalscardinal arithmeticultraproductspseudopowerexponentiation of singular cardinalspossible cofinalities of infinite products of infinite cardinals

Mathematics Subject Classification ID

Consistency and independence results (03E35) History of mathematical logic and foundations (03-03) Ordinal and cardinal numbers (03E10)

Related Items (22)

\(\mu\)-abstract elementary classes and other generalizations ⋮ Exercices de style: a homotopy theory for set theory ⋮ Products of topological groups and \(\omega\)-stability ⋮ Was Ulam right? II: Small width and general ideals ⋮ Sigma-Prikry forcing. III: Down to \(\aleph_{\omega}\) ⋮ The weight and \(i\)-weight of Lindelöf \(P\)-groups ⋮ Singular Cardinals and the PCF Theory ⋮ Possible PCF algebras ⋮ A topological reflection principle equivalent to Shelah’s strong hypothesis ⋮ On the rigidity of uniform Roe algebras over uniformly locally finite coarse spaces ⋮ The generalized continuum hypothesis revisited ⋮ Strong negative partition relations below the continuum ⋮ Pinning down versus density ⋮ The cofinality spectrum of the infinite symmetric group ⋮ Two cardinal versions of diamond ⋮ Internal sizes in \(\mu\)-abstract elementary classes ⋮ Supplements of bounded permutation groups ⋮ ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS ⋮ Fallen cardinals ⋮ Weak square bracket relations for P_κ(λ) ⋮ On the ideal \(J[\kappa\)] ⋮ Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis

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