Immersions of spheres and algebraically constructible functions

Details Immersions of spheres and algebraically constructible functions Immersions of spheres and algebraically constructible functions

2007-04-26

arxiv.org/abs/0704.3523v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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) restricted to the sphere S^n(r) is an immersion for every
0function which maps l in L to I(g_l|S^n(r)) is algebraically constructible.

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