Chain conditions in dependent groups

Itay Kaplan*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

In this note we prove and disprove some chain conditions in type definable and definable groups in dependent, strongly dependent and strongly2 dependent theories.

Original languageAmerican English
Pages (from-to)1322-1337
Number of pages16
JournalAnnals of Pure and Applied Logic
Volume164
Issue number12
DOIs
StatePublished - Dec 2013
Externally publishedYes

Keywords

  • Chain conditions
  • Dependent theories
  • Dp-Rank
  • NIP
  • Strongly dependent theories
  • Type definable groups

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