Cross Sections in Fibre Bundles |
Common terms and phrases
1-1 correspondence abelian group arbitrary admissible homomorphism associated cross section automorphism B¹(f base space bundle map bundle space cell classes of cross closed path coboundary cochains cohomology class coordinate neighborhoods Corollary cross sections defined defined at least definition denote exists a cross extendable over Kq+1 f and g f is extendable f to g f₁ F₂ fibre bundle field of tangent fields of non-oriented fundamental group g are extendable group of operators Hence homotopy classes homotopy equivalence classes homotopy group homotopy of f homotopy theorem induced by f Lemma Let f line elements tangent lineal manifold Math non-oriented line elements non-simple fibres notation obstruction cocycle paragraph path xx)(t principal bundle product bundle proof q-skeleton reference path section f simply connected st skeleton subgroup tangent vectors Theorem 7.1 thesis unique isomorphism vertex W₁ x₁