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$\aleph_0$-Categorical Completly $O$-Minimal Theories

B. Sh. Kulpeshov

Institute for Problems of Informatics and Control Sciences, Almaty

Abstract: Here we present a complete description of $\aleph_0$-categorical quite $o$-minimal theories introduced earlier as superclass of $o$-minimal theories but “quite” inherited various their properties.

Keywords: weak $o$-minimality, $\aleph_0$-categoricity, binarity.

UDC: 510.67

Received: 16.10.2007

 English version: Journal of Mathematical Sciences, 2013, 188:4, 387–397