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O-minimal structures have been introduced in the 80s to some extent with the goal of finding generalizations of model theoretic properties of stable theories to ordered structures. Later on, numerous ...
In this paper we will characterize—under appropriate axiomatic assumptions — when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming P...
Abstract: This paper states a formula for the difference of the Holmes-Thompson volumes of two simple Finsler manifolds of arbitrary dimension, in terms of the boundary distances and their derivatives...
We study the model theory of covers of groups definable in o-minimal structures. This includes the case of covers of compact real Lie groups. In particular we study categoricity questions, pointing ou...
Given a continuous map f , we study the recurrence properties of f (∗m) = f × f 2 × . . . × f m. In contrast to minimal case, we show that in general there is no relation between topological wea...
Given a Hopf bration of a round sphere by parallel great subspheres, we prove that the projection map to the base space is, up to isometries of domain and range,the unique Lipschitz constant minimize...
We show that the normal connected sum of two minimal symplectic 4-manifolds (neither of them rational or ruled) is a minimal symplectic 4-manifold. In the proof we use a symplectic sum formula for Gro...
Generalizing the construction of the Maslov class for a Lagrangian embedding in a symplectic vector space, we prove that it is possible to give a consistent definition of this class for any Lagrangian...

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