Real Algebraic and Analytic Geometry
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224. Iwona Karolkiewicz, Aleksandra Nowel, Zbigniew Szafraniec:
Immersions of spheres and algebraically constructible functions.

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Submission: 2007, April 26.

Abstract:
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 0

Mathematics Subject Classification (2000): 14P25, 57N35, 32S50.

Keywords and Phrases: immersions of spheres, algebraically constructible functions, real algebraic sets.

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