3 citations · 5 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…
Cross-cap singularities counted with sign
Iwona Krzyżanowska
There is presented a method for computing the algebraic number of cross-cap singularities for mapping from m dimensional compact manifold with boundary M into R^(2m-1), m is odd. A…
On polynomial mappings from the plane to the plane
Iwona Krzyżanowska, Zbigniew Szafraniec
Let f be a generic polynomial mapping mapping from the plane to the plane. There are constructed quadratic forms whose signatures determine the number of positive and negative cusp…
Polynomial mappings into a Stiefel manifold and immersions
Iwona Krzyżanowska, Zbigniew Szafraniec
For a polynomial mapping from S^{n-k} to the Stiefel manifold \widetilde{V}_k(\R^{n}), where n-k is even, there is presented an effective method of expressing the corresponding ele…