More on SOP_1 and SOP_2

Details More on SOP_1 and SOP_2 More on SOP_1 and SOP_2

2004-04-08

arxiv.org/abs/math/0404178v1

Mathematics

Logic

Scientific paper

This paper continues math.LO/0009087. We present a rank function for NSOP_1 theories and give an example of a theory which is NSOP_1 but not simple. We also investigate the connection between maximality in the ordering <^* among complete first order theories and the (N)SOP_2 property. We complete the proof started in math.LO/0009087 of the fact that <^*-maximality implies SOP_2 and get weaker results in the other direction. The paper provides a step toward the classification of unstable theories without the strict order property.

Affiliated with

Also associated with

No associations

Rating

More on SOP_1 and SOP_2 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 More on SOP_1 and SOP_2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and More on SOP_1 and SOP_2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-158662