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
(stable equivalence of topological vector bundles)
Let be a topological space. Define an equivalence relation on topological vector bundles over by declaring two vector bundles to be equivalent if there exists a trivial vector bundle of some rank such that after taking direct sum of vector bundles with this trivial bundle, both bundles become isomorphic:
If we say that and are stably equivalent vector bundles.
Last revised on August 20, 2025 at 00:48:21. See the history of this page for a list of all contributions to it.