Immersions of spheres and algebraically constructible functions

2007/04/26 by Iwona Karolkiewicz, Karolkiewicz, Iwona, Aleksandra Nowel +3
Mathematics · Computer Science · Engineering · #Advanced Differential Equations and Dynamical Systems #Polynomial and algebraic computation #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.0704.3523

Abstract

Let L be an algebraic set and let g : R^(n+1) × L --> R^(2n) (n is even) be a polynomial mapping such that for each l in L there is r(l)>0 such that the mapping g_l = g(.,l) restricted to the sphere Sⁿ(r) is an immersion for every 0

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