The cofinality spectrum of the infinite symmetric group

DOI10.2307/2275578zbMath0889.03037arXivmath/9412230OpenAlexW2108403101MaRDI QIDQ4372913

Simon Thomas, Saharon Shelah

Publication date: 17 December 1997

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9412230

zbMATH Keywords

forcingpermutation grouppcf theoryregular cardinalscofinality spectrum

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Subgroups of symmetric groups (20B35)

Related Items (6)

Canonical universal locally finite groups ⋮ The special Aronszajn tree property ⋮ Monotone hulls for \(\mathcal N \cap\mathcal M\) ⋮ Unnamed Item ⋮ Density of indecomposable locally finite groups ⋮ Changing cardinal characteristics without changing \(\omega\)-sequences or cofinalities

Cites Work

• Unnamed Item
• Shelah's pcf theory and its applications
• Set theory. An introduction to independence proofs
• Unbounded families and the cofinality of the infinite symmetric group
• Uniformization problems and the cofinality of the infinite symmetric group
• Cardinal arithmetic for skeptics

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