Characterizing an אε-saturated model of superstable NDOP theories by its double-struck L sign ∞, אε- theory

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Assume a complete countable first order theory is superstable with NDOP. We know that any אε-saturated model of the theory is אε-prime over a non-forking tree of "small" models and its isomorphism type can be characterized by its double-struck L sign∞, κ (dimension qualifiers)-theory, or, if you prefer, appropriate cardinal invariants. We go one step further by providing cardinal invariants which are as finitary as seem reasonable.

Original languageEnglish
Pages (from-to)61-111
Number of pages51
JournalIsrael Journal of Mathematics
Volume140
DOIs
StatePublished - 2004

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