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Jacobian Conjecture and semi-algebraic maps
Published online by Cambridge University Press: 23 June 2014
Abstract
Let F:${\mathbb R}$n→${\mathbb R}$n be a polynomial local diffeomorphism and let SF denote the set of not proper points of F. The Jelonek's real Jacobian Conjecture states that if codim(SF) ≥ 2, then F is bijective. In this work we prove a weak version of such Conjecture, but for more general maps than polynomial, namely: the semi-algebraic maps.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 157 , Issue 2 , September 2014 , pp. 221 - 229
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- Copyright © Cambridge Philosophical Society 2014
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