Immersions of spheres and algebraically constructible functions

Iwona Karolkiewicz, Aleksandra Nowel, Zbigniew Szafraniec

Let L be an algebraic set and let g : R^(n+1) \times 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) r…