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On ℵ0-categorical weakly circularly minimal structures

✍ Scribed by Beibut Sh. Kulpeshov

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
268 KB
Volume
52
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We continue exploring analogues of o‐minimality and weak o‐minimality for circularly ordered sets. The main result is a description of ℵ~0~‐categorical 1‐transitive non‐primitive weakly circularly minimal structures of convexity rank 1 up to binarity (Theorems 4.4 and 4.5). (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Binary types in ℵ0-categorical weakly o-
Binary types in ℵ0-categorical weakly o-minimal theories
✍ Beibut Sh. Kulpeshov 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## 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

Minimality conditions on circularly orde
Minimality conditions on circularly ordered structures
✍ Beibut Sh. Kulpeshov; H. Dugald Macpherson 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 278 KB

We explore analogues of o-minimality and weak o-minimality for circularly ordered sets. Much of the theory goes through almost unchanged, since over a parameter the circular order yields a definable linear order. Working over ∅ there are differences. Our main result is a structure theory (with infin