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Titlebook: Lecture Notes on O-Minimal Structures and Real Analytic Geometry; Chris Miller,Jean-Philippe Rolin,Patrick Speissegg Book 2012 Springer Sc

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Blowings-Up of Vector Fields,A new proof of the reduction of singularities for planar vector fields is presented. The idea is to adapt Zariski’s local uniformisation method to the vector field setting.
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Basics of O-minimality and Hardy Fields,This paper consists of lecture notes on some fundamental results about the asymptotic analysis of unary functions definable in o-minimal expansions of the field of real numbers.
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Construction of O-minimal Structures from Quasianalytic Classes,I present the method of constructing o-minimal structures based on local reduction of singularities for quasianalytic classes.
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Course on Non-oscillatory Trajectories,Non-oscillatory trajectories of vector fields are discussed, and some sufficient conditions are established that make the expansion of the real field by such a trajectory o-minimal.
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