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math.AG2008
An algebraic formula for the intersection number of a polynomial immersion
Iwona Karolkiewicz, Aleksandra Nowel, Zbigniew Szafraniec
There is presented an algorithm for computing the topological degree for a large class of polynomial mappings. As an application there is given an effective algebraic formula for t…
math.AG2007
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…