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Binary types in ℵ0-categorical weakly o-minimal theories

✍ Scribed by Beibut Sh. Kulpeshov

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 160 KB
Volume: 57
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200910123

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✦ Synopsis

MSC (2010) 03C64, 03C35

Orthogonality of all families of pairwise weakly orthogonal 1-types for ℵ0 -categorical weakly o-minimal theories of finite convexity rank has been proved in [6]. Here we prove orthogonality of all such families for binary 1-types in an arbitrary ℵ0 -categorical weakly o-minimal theory and give an extended criterion for binarity of ℵ0 -categorical weakly o-minimal theories (additionally in terms of binarity of 1-types).

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✍ Stefano Leonesi; Carlo Toffalori 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB 👁 1 views

## Abstract We consider the sets definable in the countable models of a weakly o‐minimal theory __T__ of totally ordered structures. We investigate under which conditions their Boolean algebras are isomorphic (hence __T__ is p‐__ω__‐categorical), in other words when each of these definable sets adm