Keisler's Order is Not Linear, Assuming a Supercompact

2017/02/04 by Ulrich, Douglas
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1702.01237

Abstract

We show that Keisler's order is not linear, assuming the existence of a supercompact cardinal.

Related

• Keisler's order is not simple (and simple theories may not be either)
• There may be no minimal non σ-scattered linear orders
• An example of a new simple theory
• Keisler's order has infinitely many classes
• Linear Orders in Presburger Arithmetic