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Lecture Notes on O-Minimal Structures and Real Analytic Geometry pp 71–109Cite as

Construction of O-minimal Structures from Quasianalytic Classes

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Part of the book series: Fields Institute Communications ((FIC,volume 62))

Abstract

I present the method of constructing o-minimal structures based on local reduction of singularities for quasianalytic classes.

Mathematics Subject Classification (2010): Primary 03C10, 32B05, 32B20; Secondary 26E05

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Acknowledgements

Supported by the Fields Institute for Research in the Mathematical Sciences and the Université de Bourgogne.

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Authors and Affiliations

  1. Institut de Mathématiques de Bourgogne – UMR 5584 CNRS, Université de Bourgogne, 9 avenue Alain Savary, 21078, Dijon, France

    Jean-Philippe Rolin

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  1. Jean-Philippe Rolin
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Correspondence to Jean-Philippe Rolin .

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Editors and Affiliations

  1. , Department of Mathematics, The Ohio State University, West 18th Avenue 231, Columbus, 43210, Ohio, USA

    Chris Miller

  2. , Institut de mathématiques de Bourgogne, Université de Bourgogne, avenue Alain Savary 9, Dijon, 21078, France

    Jean-Philippe Rolin

  3. , Department of Mathematics and Statistics, McMaster University, Main Street West 1280, Hamilton, L8S 4K1, Ontario, Canada

    Patrick Speissegger

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Rolin, JP. (2012). Construction of O-minimal Structures from Quasianalytic Classes. In: Miller, C., Rolin, JP., Speissegger, P. (eds) Lecture Notes on O-Minimal Structures and Real Analytic Geometry. Fields Institute Communications, vol 62. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4042-0_3

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