On self-definable subsets of $\aleph_0$-categorical weakly o-minimal structures

The present paper concerns the generalization of the notion of o-minimality: weak o-minimality originally studied by D. Macpherson, D. Marker and Ch. Steinhorn in [1]. We study self-definable sets of an $\aleph_0$-categorical weakly o-minimal structure, and the main result is a criterion for goodness of every self-definable subset in an $\aleph_0$-categorical weakly o-minimal structure (Theorem 2.3).