Kulpeshov, B.S. Sib Math J (2009) 50: 282. doi:10.1007/s11202-009-0034-3
We continue studying the analogs of o-minimality and weak o-minimality for circularly ordered sets. We present a complete characterization of the behavior of unary definable functions in an ℵ0-categorical 1-transitive weakly circularly minimal structure. Using it, we describe the ℵ0-categorical 1-transitive nonprimitive weakly circularly minimal structures of convexity rank greater than 1 up to binarity.