Categoricity in Abstract Elementary Classes with No Maximal Models

Details Categoricity in Abstract Elementary Classes with No Maximal Models Categoricity in Abstract Elementary Classes with No Maximal Models

2005-10-26

arxiv.org/abs/math/0510579v1

Mathematics

Logic

To Appear in the Annals of Pure and Applied Logic

Scientific paper

The results in this paper are in a context of abstract elementary classes identified by Shelah and Villaveces in which the amalgamation property is not assumed. The long-term goal is to solve Shelah's Categoricity Conjecture in this context. Here we tackle a problem of Shelah and Villaveces by proving that in their context, the uniqueness of limit models follows from categoricity under the assumption that the subclass of amalgamation bases is closed under unions of bounded, increasing chains.

Affiliated with

Also associated with

No associations

Rating

Categoricity in Abstract Elementary Classes with No Maximal Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Categoricity in Abstract Elementary Classes with No Maximal Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Categoricity in Abstract Elementary Classes with No Maximal Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322785