Submission date: 27 November 2014.

Abstract:

The main result of this paper is a positive answer to the Conjecture by A. Chernikov, I. Kaplan and P. Simon: If M is a PRC-field, then Th(M) is NTP2 if and only if M is bounded. In the case of PpC fields, we prove that if M is a bounded PpC field, then Th(M) is NTP2. We also generalize this result to obtain that, if M is a bounded PRC (PpC) -field, then Th(M) is strong.

Mathematics Subject Classification: 03C60, 03C45

Keywords and phrases:

Full text arXiv 1411.7654: pdf, ps.