Remarks on relative categoricity

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Authors: Anand Pillay
Cited by: 0

Abstract

The paper is partly a survey with historical background and references, partly provides the opportunity to put in print some unpublished early work, and partly has new results. A special case of relative categoricity is identified (almost internal covers) for which the Gaifman conjecture is proved, full omega-stability over P is introduced, and as counterexample is given to full stability over P.

Fields of Study & Subjects

Advanced Topology and Set Theory Rings Modules and Algebras Computability Logic AI Algorithms

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 February 2026
Document type
Preprint