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Article Dans Une Revue Manuscripta mathematica Année : 2012

On the topology of semi-algebraic functions on closed semi-algebraic sets

Résumé

We consider a semi-algebraic function defined on a closed semi-algebraic set X. We give formulas relating the topology of X to the indices of the critical points of the function and to the topological behavior of the function at infinity. We give applications when X is R^n and when the function is linear.
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hal-00545183 , version 1 (09-12-2010)

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Nicolas Dutertre. On the topology of semi-algebraic functions on closed semi-algebraic sets. Manuscripta mathematica, 2012, 139 (3-4), pp.415-441. ⟨hal-00545183⟩
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