Uniformization problems and the cofinality of the infinite symmetric group

DOI10.1305/ndjfl/1040511341zbMath0824.03027OpenAlexW1987979193MaRDI QIDQ1893135

James D. Sharp, Simon Thomas

Publication date: 9 November 1995

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1040511341

zbMATH Keywords

consistencyuniformizationcovering numberMycielski idealMartin's Axiomcofinality of a group

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Applications of set theory (03E75) Symmetric groups (20B30)

Related Items (7)

The cofinality of the saturated uncountable random graph ⋮ Cardinal invariants related to permutation groups ⋮ Automorphisms of a free group of infinite rank ⋮ The cofinality spectrum of the infinite symmetric group ⋮ The covering numbers of Mycielski ideals are all equal ⋮ The cofinality of the infinite symmetric group and groupwise density ⋮ The cofinality of the random graph

Cites Work

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• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Set theory. An introduction to independence proofs
• Proper forcing
• Forcing axioms and stationary sets
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• Implausible Subgroups of Infinite Symmetric Groups
• Subgroups of Infinite Symmetric Groups
• Partition Problems in Topology
• Combinatorial properties of the ideal ℬ₂

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