Tautological bundle

id: tautological-bundle-292-14882218
title: Tautological bundle
text: In mathematics, the tautological bundle is a vector bundle occurring over a Grassmannian in a natural tautological way: for a Grassmannian of k -dimensional subspaces of V , given a point in the Grassmannian corresponding to a k -dimensional vector subspace W ⊆ V , the fiber over W is the subspace W itself. In the case of projective space the tautological bundle is known as the tautological line bundle. The tautological bundle is also called the universal bundle since any vector bundle is a pull
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Tautological_bundle
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date modified: 2023-12-28T11:51:00Z
main entity: {"identifier":"Q2397465","url":"https://www.wikidata.org/entity/Q2397465"}
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