: Mathematics: vector bundle

topology > differential topology > vector bundle

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 ${\\displaystyle X}$ (for example ${\\displaystyle X}$ could be a topological space, a manifold, or an algebraic variety): to every point ${\\displaystyle x}$ of the space ${\\displaystyle X}$ we associate (or "attach") a vector space ${\\displaystyle V(x)}$ in such a way that these vector spaces fit together to form another space of the same kind as ${\\displaystyle X}$ (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over ${\\displaystyle X}$ .
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Vector_bundle)

http://data.loterre.fr/ark:/67375/PSR-RD2D0P6C-W

RDF/XML TURTLE JSON-LD Last modified 7/21/23

https://en.wikipedia.org/wiki/Vector_bundle

en.wikipedia.org

https://fr.wikipedia.org/wiki/Fibr%C3%A9_vectoriel

fr.wikipedia.org

Loterre