Meaning of vector bundle | Babel Free

Definitions

A fiber bundle for which the fiber is a vector space.

Equivalents

Examples

“Let E and F be two vector bundles on a compact algebraic set X.”

“2012, Igor Burban, Bernd Kreussler, Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, American Mathematical Society, page 5, This solutions actually depend on the choice of a trivialisation ξ of the universal family 𝒫(n,d) of stable vector bundles of rank n and degree d.”

“Definition 6.1.5 A non-zero vector bundle #92;mathcal#123;F#125; on X is said to be decomposable if it can be written as #92;mathcal#123;F#125;#95;1#92;oplus#92;mathcal#123;F#125;#95;2 with #92;mathcal#123;F#125;#95;1 and #92;mathcal#123;F#125;#95;2 non-zero vector bundles. Otherwise it is said to be indecomposable.”

CEFR level