bn:02126123n
Noun Concept
Categories: Vector bundles
EN
Vector bundle  Direct sum of vector bundles  Eigenbundle  Endomorphism bundle  Hom-bundle
EN
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X : to every point x of the space X we associate a vector space V in such a way that these vector spaces fit together to form another space of the same kind as X, which is then called a vector bundle over X. The simplest example is the case that the family of vector spaces is constant, i.e., there is a fixed vector space V such that V = V for all x in X: in this case there is a copy of V for each x in X and these copies fit together to form the vector bundle X × V over X. Such vector bundles are said to be trivial. Wikipedia
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EN
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X : to every point x of the space X we associate a vector space V in such a way that these vector spaces fit together to form another space of the same kind as X, which is then called a vector bundle over X. The simplest example is the case that the family of vector spaces is constant, i.e., there is a fixed vector space V such that V = V for all x in X: in this case there is a copy of V for each x in X and these copies fit together to form the vector bundle X × V over X. Such vector bundles are said to be trivial. Wikipedia
Topological construction that makes precise the idea of a family of vector spaces parameterized by another space Wikidata
A fiber bundle for which the fiber is a vector space. Wiktionary
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