A note on model complete models and generic model

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We prove that there are many maximum model complete (= generic) models, and that there exists an (uncountable) theory with no generic models.

Original languageEnglish
Pages (from-to)509-514
Number of pages6
JournalProceedings of the American Mathematical Society
Volume34
Issue number2
DOIs
StatePublished - Aug 1972

Keywords

  • Generic models
  • Maximal model
  • Model complete
  • Omitting types

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