This article is cited in 5 papers

The Property of Being Binary for $\aleph_0$-Categorical Weakly $o$-Minimal Theories

B. Sh. Kulpeshov

Institute for Problems of Informatics and Control Sciences

Abstract: In [6], a complete description was furnished for $\aleph_0$-categorical $o$-minimal theories. That description implies that these theories are binary. We give a description for $\aleph_0$-categorical, binary, weakly $o$-minimal theories of convexity rank 1.

Keywords: weakly $o$-minimal theory, $\aleph_0$-categorical theory, binary theory.

UDC: 510.67

Received: 12.01.2004

 English version: Algebra and Logic, 2005, 44:4, 256–263

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