On the number of elementary submodels of an unsuperstable homogeneous structure

Tapani Hyttinen*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We show that if M is a stable unsuperstable homogeneous structure, then for most κ < |M|, the number of elementary submodels of M of power κ is 2κ.

Original languageEnglish
Pages (from-to)354-358
Number of pages5
JournalMathematical Logic Quarterly
Volume44
Issue number3
DOIs
StatePublished - 1998

Keywords

  • Elementary submodel
  • Homogeneous structure
  • Stable structure
  • Superstable structure

Fingerprint

Dive into the research topics of 'On the number of elementary submodels of an unsuperstable homogeneous structure'. Together they form a unique fingerprint.

Cite this