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On almost binarity in weakly circularly minimal structures

B. Sh. Kulpeshov

Department of Mathematical and Computer Modeling, International Information Technology University, 34A Manas St / 8A Zhandosov St., 050040 Almaty, Kazakhstan

Abstract: We prove that $\aleph_0$-categorical non-$1$-transitive weakly circularly minimal theories of convexity rank $1$ are almost binary.

Keywords and phrases: weak circular minimality, $\aleph_0$-categoricity, convexity rank, orthogonality, binarity.

MSC: 03C64, 03C35

Received: 12.12.2015

Language: English

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