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Transversality theorem in o-minimal structures

Published online by Cambridge University Press:  01 September 2008

Ta Lê Loi
Ta Lê Loi*
Affiliation:
Department of Mathematics, University of Dalat, Dalat, Vietnam (email: taleloi@hotmail.com)
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Abstract

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In this paper we present Thom’s transversality theorem in o-minimal structures (a generalization of semialgebraic and subanalytic geometry). There are no restrictions on the differentiability class and the dimensions of manifolds involved in comparison withthe general case.

Keywords

o-minimal structurestransversality

MSC classification

Secondary: 32B20: Semi-analytic sets and subanalytic sets 14P10: Semialgebraic sets and related spaces
Type
Research Article
Information
Compositio Mathematica , Volume 144 , Issue 5 , September 2008 , pp. 1227 - 1234
Copyright
Copyright © Foundation Compositio Mathematica 2008