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VCminimality: Examples and Observations
"... Abstract. VCminimality is a recent notion in model theory which generalizes strong minimality, ominimality, weak ominimality and cminimality, but is strong enough to imply various other properties of interest such as NIP and dpminimality. In this paper, we answer several questions posed by Adl ..."
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Abstract. VCminimality is a recent notion in model theory which generalizes strong minimality, ominimality, weak ominimality and cminimality, but is strong enough to imply various other properties of interest such as NIP and dpminimality. In this paper, we answer several questions posed by Adler about the relationship of VCminimality and older stabilitytheoretic notions in model theory. We also give a proof that Presberger arithmetic is not VCminimal and an example which separates local VCminimality from convex orderability, answering a question posed by Guingona.
On forking and definability of types in some dpminimal theories
 the J. Symbolic Logic
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