Definition:Vector Bundle
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Definition
Let $B = \struct {E, M , \pi, F}$ be a fiber bundle.
Then $B$ is a vector bundle over $M$ if the model fiber $F$ is a topological vector space.
Also see
Sources
- 2003: John M. Lee: Introduction to Smooth Manifolds: $\S 10$: Vector Bundles
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (next): vector bundle
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (next): vector bundle