Toward categoricity for classes with no maximal models

Details Toward categoricity for classes with no maximal models Toward categoricity for classes with no maximal models

1997-07-15

arxiv.org/abs/math/9707227v1

Mathematics

Logic

Scientific paper

We provide here the first steps toward Classification Theory of Abstract Elementary Classes with no maximal models, plus some mild set theoretical assumptions, when the class is categorical in some lambda greater than its Lowenheim-Skolem number. We study the degree to which amalgamation may be recovered, the behaviour of non mu-splitting types. Most importantly, the existence of saturated models in a strong enough sense is proved, as a first step toward a complete solution to the Los Conjecture for these classes.

Affiliated with

Also associated with

No associations

Rating

Toward categoricity for 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 Toward categoricity for classes with no maximal models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toward categoricity for classes with no maximal models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-399688