Vector Fields and Other Vector Bundle Morphisms - A Singularity Approach |
Other editions - View all
Vector Fields and Other Vector Bundle Morphisms - A Singularity Approach Ulrich Koschorke Limited preview - 2006 |
Vector Fields and Other Vector Bundle Morphisms - a Singularity Approach Ulrich Koschorke No preview available - 2014 |
Common terms and phrases
assume Atiyah and Dupont bijective bordant bordism class BSO(n canonical canonical line bundle closed connected manifold closed n-manifold Coker commuting diagram compact consider const Corollary defined denote Euler number exact sequence example finite singularities follows Gysin sequence H₁ H₂ hence homomorphism homotopy classes homotopy group idxT incl injective integer invariant isomorphism k-field with finite k-frame field k-morphism k+1)-morphism ker f kernel lemma line bundle M₂ monomorphism morphism nondegenerate nonorientable nontrivial normal bordism groups normal bundle obtain obvious odd torsion orientation bundle paracompact space proj proof of theorem proposition pullback resp singularity data smooth manifold span(s sq² stable span Stiefel-Whitney class suitable theorem 9.3 trivial unoriented vanishes vector bundle vectorfield Vn,k W1 w₁ w₂ N)² XxBO Z₂