Categoricity of theories in Lκ*,ω, when κ* is a measurable cardinal. Part 2

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We continue the work of [2] and prove that for λ successor, a λ-categorical theory T in Lκ*,ω is μ-categorical for every μ ≤ λ which is above the (2LS(T))+-beth cardinal.

Original languageEnglish
Pages (from-to)165-196
Number of pages32
JournalFundamenta Mathematicae
Volume170
Issue number1-2
DOIs
StatePublished - 2001

Keywords

  • Categoricity
  • Classification theory
  • Infinitary logics
  • Limit ultrapower
  • Measurable cardinal
  • Model theory
  • ŁOś theorem

Fingerprint

Dive into the research topics of 'Categoricity of theories in Lκ*,ω, when κ* is a measurable cardinal. Part 2'. Together they form a unique fingerprint.

Cite this