Groupwise density and the cofinality of the infinite symmetric group

DOI10.1007/S001530050109zbMath0974.03043OpenAlexW2048676601MaRDI QIDQ1283121

Simon Thomas

Publication date: 7 December 2001

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001530050109

zbMATH Keywords

consistencyinfinite symmetric groupcardinal invariant of the continuumcofinality of a groupgroupwise density

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items (6)

The relative consistency of g < cf(Sym(ω)) ⋮ Van Douwen's diagram for dense sets of rationals ⋮ Increasing the groupwise density number by c.c.c. forcing ⋮ 2000 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium 2000 ⋮ The cofinality of the infinite symmetric group and groupwise density ⋮ On the length of chains of proper subgroups covering a topological group

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