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Unbounded families and the cofinality of the infinite symmetric group

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Publication:1805406
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DOI10.1007/BF01269875zbMath0818.03027OpenAlexW2082162328MaRDI QIDQ1805406

James D. Sharp, Simon Thomas

Publication date: 10 August 1995

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

Full work available at URL: https://doi.org/10.1007/bf01269875

zbMATH Keywords

cofinality of the infinite symmetric groupminimal cardinality of an unbounded family


Mathematics Subject Classification ID

Consistency and independence results (03E35) Symmetric groups (20B30)


Related Items

The cofinality of the saturated uncountable random graph, The cofinality spectrum of the infinite symmetric group, The cofinality of the random graph, Infinite products of finite simple groups, The cofinality of the symmetric group and the cofinality of ultrapowers



Cites Work

  • Unnamed Item
  • There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
  • Set theory. An introduction to independence proofs
  • Proper forcing
  • Mathias Forcing which does not Add Dominating Reals
  • Subgroups of Infinite Symmetric Groups
  • Combinatorics on ideals and forcing
  • Ultrafilters on a countable set
  • Multiple Forcing
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