Tame structures and open cores

2010/03/18 by Fornasiero, Antongiulio
#FOS: Mathematics #Logic (math.LO) #Primary 03C64 #Secondary 12J15.

paper · doi:10.48550/arxiv.1003.3557

Abstract

We study various notions of "tameness" for definably complete expansions of ordered fields. We mainly study structures with locally o-minimal open core, d-minimal structures, and dense pairs of d-minimal structures.

Related

• D-minimal structures
• Wild theories with o-minimal open core
• The Choice Property in tame expansions of o-minimal structures
• Small sets in dense pairs
• Locally o-minimal open core