Vector Fields and Other Vector Bundle Morphisms - A Singularity Approach |
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Page 124
Ulrich Koschorke. S §11 . An example of odd torsion : calculation of 3 . So far , we encountered mainly 2 - primary torsion in explicitly computed normal bordism groups . However , the interaction of free groups in our exact sequences ...
Ulrich Koschorke. S §11 . An example of odd torsion : calculation of 3 . So far , we encountered mainly 2 - primary torsion in explicitly computed normal bordism groups . However , the interaction of free groups in our exact sequences ...
Page 218
Ulrich Koschorke. $ 17 . Torsion questions . The tables in example 16.15 suggest that , while such groups as " n - 1 ( Vn , k ) may well contain odd torsion , most of the relevant sub- groups do not . In this section we investigate ...
Ulrich Koschorke. $ 17 . Torsion questions . The tables in example 16.15 suggest that , while such groups as " n - 1 ( Vn , k ) may well contain odd torsion , most of the relevant sub- groups do not . In this section we investigate ...
Page 222
... odd torsion of j - k + 1 ( Y ; trivial ) k > 0 , and assume that the is zero . Consider the homomorphisms incl ( Y ; trivial ) k - 1 Bj ( pk - 1 x Y + 0x ) . Then d is injective on the odd torsion subgroup which in turn lies in the ...
... odd torsion of j - k + 1 ( Y ; trivial ) k > 0 , and assume that the is zero . Consider the homomorphisms incl ( Y ; trivial ) k - 1 Bj ( pk - 1 x Y + 0x ) . Then d is injective on the odd torsion subgroup which in turn lies in the ...
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-k 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 incl injective integer invariant isomorphism k-field with finite k-frame field k-morphism k+1)-morphism ker f kernel lemma line bundle manifold of dimension monomorphism morphism nondegenerate nonorientable nontrivial normal bundle obtain obvious odd torsion orientation bundle paracompact space proj proof of theorem proposition pullback resp singularity data smooth manifold span(s sphere bundle Sq¹ sq² stable span Stiefel-Whitney class suitable theorem 9.3 trivial unoriented vanishes vector bundle vectorfield Vn,k w₁ N)² W1 w₁ w₂ XxBO Z₂