The number of non-isomorphic models of an unstable first-order theory

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

It is proved that if T is an unstable (first-order) theory, λ>|T|+א0, then T has exactly 2 λ non-isomorphic models of cardinality λ. In fact we have stronger results: this is true for pseudo-elementary classes, and for almost every λ≧|T|+א1.

Original languageEnglish
Pages (from-to)473-487
Number of pages15
JournalIsrael Journal of Mathematics
Volume9
Issue number4
DOIs
StatePublished - Feb 1971

Fingerprint

Dive into the research topics of 'The number of non-isomorphic models of an unstable first-order theory'. Together they form a unique fingerprint.

Cite this