2 citations · 3 across the 5 of their papers we have counts for
6 papers
Intersection number of a map with the set of matrices of positive corank
Iwona Krzyżanowska, Aleksandra Nowel
The definition of the intersection number of a map with a closed manifold can be extended to the case of a closed stratified set such that the difference between dimensions of its…
Criteria for singularities for mappings from two--manifold to the plane. The number and signs of cusps
Iwona Krzyżanowska, Aleksandra Nowel
Let M be a two--dimensional complete intersection. We show how to check whether a mapping f: M-->R^2 is 1-generic with only folds and cusps as singularities. In this case we give a…
Mappings into the Stiefel manifold and cross-cap singularities
Iwona Krzyżanowska, Aleksandra Nowel
Take n>k>1 such that n-k is odd. In this paper we consider mapping a from (n-k+1)-dimensional closed ball into the space of (n \times k)--matrices such that its restriction to a sp…
On the number of branches of real curve singularities
Aleksandra Nowel, Zbigniew Szafraniec
There is presented a method for computing the number of branches of a real analytic curve germ from to , where m is greater or equal to n, having a singular point at the…
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…
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…