# Algebra of vector bundles

# Algebra of vector bundles

Any linear operation that can be performed to generate a new vector space from a given set of initial vector spaces can be done fibre-wise with an analogous set of vector bundles to generate a new vector bundle. This chapter describes the most important examples. The discussions cover subbundles; quotient bundles; the dual bundle; bundles of homomorphisms; tensor product bundles; the direct sum; and tensor powers.

*Keywords:*
vector spaces, subbundles, quotient bundles, dual bundle, homomorphisms, tensor product bundles, tensor powers

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