Geodesic
On self-definable subsets of $\aleph_0$-categorical weakly o-minimal structures
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 433-438

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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).
Keywords: weak o-minimality, $\aleph_0$-categoricity, self-definable set. 
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     title = {On self-definable subsets of $\aleph_0$-categorical weakly o-minimal structures},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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B. Sh. Kulpeshov. On self-definable subsets of $\aleph_0$-categorical weakly o-minimal structures. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 433-438. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a6/