vector bundle, 2-vector bundle, (∞,1)-vector bundle
real, complex/holomorphic, quaternionic
homotopy theory, (∞,1)-category theory, homotopy type theory
flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed…
models: topological, simplicial, localic, …
see also algebraic topology
Introductions
Definitions
Paths and cylinders
Homotopy groups
Basic facts
Theorems
Given a vector bundle, its dual is the vector bundle obtained by passing fiber-wise to the dual vector space.
Let be a topological space and let be two topological vector bundles over , of finite rank of a vector bundle. Then a homomorphism of vector bundles
is equivalently a section of the tensor product of vector bundles of with the dual vector bundle of .
Moreover, this section is a trivializing section (this example) precisely if the corresponding morphism is an isomorphism.
Last revised on May 17, 2023 at 10:08:02. See the history of this page for a list of all contributions to it.