vector bundle
noun1
Category theory, Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences, Topology A fiber bundle for which the fiber is a vector space.
- Let E and F be two vector bundles on a compact algebraic set X.1995, Mauro Beltrametti, Andrew John Sommese, The Adjunction Theory of Complex Projective Varieties, Walter de Gruyter, page 8:
- 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.
1 more example
- 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.2017, David J. Benson, Representations of Elementary Abelian p-Groups and Vector Bundles, Cambridge University Press, page 130:
- Hypernyms
- fiber bundle
- Hyponyms
- tangent bundle, line bundle
- Meronyms
- zero section