pullback bundle造句
例句與造句
- An operation of a different nature is the "'pullback bundle "'construction.
- In the language of category theory, the pullback bundle construction is an example of the more general categorical pullback.
- Conversely, general bundle maps can be reduced to bundle maps over a fixed base space using the notion of a pullback bundle.
- If the bundle has structure group with transition functions ( with respect to a family of local trivializations then the pullback bundle also has structure group.
- The construction of the pullback bundle can be carried out in subcategories of the category of topological spaces, such as the category of smooth manifolds.
- It's difficult to find pullback bundle in a sentence. 用pullback bundle造句挺難的
- The pullback bundle is perhaps the simplest example that bridges the notion of a pullback as precomposition, and the notion of a pullback as a cartesian square.
- Let h be a section of a fiber bundle \ Sigma \ to X, and let h ^ * Y \ subset Y be the pullback bundle over X.
- The pullback bundle then has two projections : one to the base space, the other to the fiber; the product of the two becomes coherent when treated as a fiber product.
- Given a fibered manifold Y \ to X, let f : X'\ to X be a morphism and f ^ * Y \ to X'the pullback bundle of Y by f.
- where TY and TX are the tangent bundles of Y, respectively, VY is the vertical tangent bundle of Y, and Y \ times _ X TX is the pullback bundle of TX onto Y.
- The fibers then travel along with the points in the base space at which they are anchored : the resulting new pullback bundle looks locally like a cartesian product of the new base space, and the ( unchanged ) fiber.