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... > mathematical technique > geometry > topology > topological space > topological manifold > vector bundle

Terme préférentiel

vector bundle  

Définition(s)

  • 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. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Vector_bundle)

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RDF/XML TURTLE JSON-LD Dernière modif. 24/04/2023