Definable functions in the ℵ0-categorical weakly circularly minimal structures
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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.
Keywordscircularly ordered set weak circular minimality ℵ0-categoricity convexity rank
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