Recent developments in the theory of pfaffian sets are presented from a model-theoretic
point of view. In particular, the current state of affairs for Van den Dries's model …

Let T be a set-valued map from a subset of Rn to Rm. Suppose (R;+,·, T) is o-minimal. We
prove that (1) if for every x∈ Rn, each connected component of T (x) is convex, then T has a …

We initiate an investigation of structures on the set of real numbers having the property that
path components of definable sets are definable. All o-minimal structures on have the …

Let R be an o-minimal expansion of the real additive ordered group. A dminimal expansion
of R is a structure such that for every definable family of subsets of R of dimension 0, there is …

We explore\emph {semibounded} expansions of arbitrary ordered groups; namely,
expansions that do not define a field on the whole universe. We introduce the notion of …

This is an expository paper on a Theorem of the Complement, due to Wilkie, and its
generalisations. Wilkie (Sel Math (NS) 5: 397–421, 1999) gave necessary and sufficient …

A Note on Hieronymi’s Theorem: Every Definably Complete Structure Is Definably Baire |
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In this dissertation, we improve the Definable Michael's Selection Theorem in o-minimal
expansions of real closed fields. Then applications of this theorem are established; for …