orientation of a vector bundle造句

• The notion of an orientation of a vector bundle generalizes an orientation of a manifold : an orientation of a manifold is an orientation of the tangent bundle of the manifold.
• The significance of this construction begins with the following result, which belongs to the subject of cohomology of fiber bundles . ( We have stated the result in terms of "'Z "'2 coefficients to avoid complications arising from orientability; see also Orientation of a vector bundle # Thom space .)