Description
BME Geometria Tanszék szemináriuma
Kivonat:
We give sufficient and necessary conditions for the existence of a fold map from a closed n-dimensional manifold to R^{n-1} with prescribed singular set for 5 <= n <= 8. We obtain relations between
topological properties of the source manifold like the Euler characteristic and the signature and some global topological properties of the fold singular set like the self-intersection number.
We use obstruction theory and the homotopy principle for fold maps.