Vector bundle

The Möbius strip is a line bundle over the 1-sphere S1. Locally around every point in S1, it looks like U × R (where U is an open arc including the point), but the total bundle is different from S1 × R (which is a cylinder instead).

The map associating a normal to each point on a surface can be thought of as a section. The surface is the space X, and at each point x there is a vector in the vector space attached at x.

In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or "attach") a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X.

单词	Trivial vector bundle
释义	Trivial vector bundle 英语百科 Vector bundle In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or "attach") a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X.
随便看	squalene pyrophosphoric acid的意思 squalene的意思 Squalene Soft Capsules的意思 Squalene synthase的意思 squalene synthetase的意思 squaleote的意思 Squalestatin的意思 squalid的意思 squalida的意思 Squalidae的意思 squalidaes的意思 squalidene的意思 squalid的意思 squalid的意思 squalidin的意思 squalidine的意思 squalidities的意思 squalidity的意思 squalid的意思 squalid loaf的意思 squalidly的意思 squalidness的意思 squalid的意思 squalid的意思 Squalidus的意思

Trivial vector bundle

Vector bundle