Following their creation within the early Eighties, o-minimal constructions have supplied a sublime and unusually effective generalization of semialgebraic and subanalytic geometry. This ebook provides a self-contained therapy of the speculation of o-minimal constructions from a geometrical and topological standpoint, assuming basically rudimentary algebra and research. It starts off with an advent and evaluate of the topic. Later chapters disguise the monotonicity theorem, cellphone decomposition, and the Euler attribute within the o-minimal atmosphere and convey how those notions are more uncomplicated to address than in traditional topology. The striking combinatorial estate of o-minimal buildings, the Vapnik-Chervonenkis estate, can also be lined. This ebook may be of curiosity to version theorists, analytic geometers and topologists.

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