vector bundle
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English[edit]
Noun[edit]
vector bundle (plural vector bundles)
- (topology, category theory) A fiber bundle for which the fiber is a vector space.
- 1995, Mauro Beltrametti, Andrew John Sommese, The Adjunction Theory of Complex Projective Varieties, Walter de Gruyter, page 8:
- 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[sic] solutions actually depend on the choice of a trivialisation of the universal family of stable vector bundles of rank and degree .
- 2017, David J. Benson, Representations of Elementary Abelian p-Groups and Vector Bundles, Cambridge University Press, page 130:
- Definition 6.1.5 A non-zero vector bundle on is said to be decomposable if it can be written as with and non-zero vector bundles. Otherwise it is said to be indecomposable.
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Further reading[edit]
- Fiber bundle on Wikipedia.Wikipedia
- Coherent sheaf on Wikipedia.Wikipedia
- Holomorphic vector bundle on Wikipedia.Wikipedia
- vector bundle on nLab
- Vector Bundle on Wolfram MathWorld
- Vector bundle on Encylopedia of Mathematics
- Vector bundle, algebraic on Encylopedia of Mathematics
- Vector bundle, analytic on Encylopedia of Mathematics