This article is cited in 6 papers

Mathematical logic, algebra and number theory

On indiscernibility of a set in circularly ordered structures

B. Sh. Kulpeshov

International Information Technology University, ul. Manasa 34A/ugol ul. Zhandosova 8A, 050040, Almaty, Kazakhstan

Abstract: We prove a criterion for indiscernibility of the set of realisations of an 1-type of convexity rank 1 in $\aleph_0$-categorical non-1-transitive weakly circularly minimal structures.

Keywords: weak circular minimality, $\aleph_0$-categoricity, indiscernibility.

UDC: 510.67

MSC: 03C64

Received February 21, 2015, published April 15, 2015

DOI: 10.17377/semi.2015.12.021