Revision #682 → #1652 · back to history
addedVector bundle736e15a18bb5
addedTrivial bundle (constant family)341d16e38ffc
addedTangent bundle of a manifoldbd69606cbb62
addedParallelizable manifold91a39f8a6b25
addedLocal triviality (fiber bundle)1993f9067033
addedReal vector bundlefeb72bc08e41
addedLocal trivialization9a88cba8040e
addedRank of a vector bundle4a927d1ed5fa
addedLine bundle and plane bundlec83122ec072d
addedTrivial bundle of rank k281b4ad7bf4c
addedTransition functionsa9b927a08e55
addedTransition functions form a Čech cocyclee6ddc3296fca
addedFibre bundle construction theoremf85e5c55da3f
addedSubbundle500e9fcdb171
addedBundles as subbundles of trivial bundles1aa2119ad270
addedVector bundle morphism0b9ceeeeb04d
addedCategory of vector bundlesc0d9eeaae2f2
addedBundle isomorphism and trivialization3aebe5f6a245
addedCategory over a fixed base space69cf4976e385
addedMorphism as morphism into pullback bundled13129e769c3
addedSection of a vector bundle32ad0bc7b99d
addedZero section and sheaf of sections5b80ef2796f5
addedSections form an O_X-module9f3d1098f04d
addedVector bundles give locally free sheavesce3c9be5f824
addedEquivalence with locally free sheaves3e3eb7b751c4
addedTriviality via global sections74ef46050c94
addedDual bundled4bc9c9d8529
addedWhitney sum (direct sum bundle)b4b99fb900b0
addedTensor product bundle4e04606c526b
addedHom-bundle832e80591660
addedEigenbundle constructionae7f4305fe7f
addedCanonical isomorphism Hom(E,F)=E*⊗Fb190eb02a379
addedPullback bundle33b68fab2659
addedBundles over compact space are direct summands7cde22156bfc
addedVector bundle metric2b8c87bdf57b
addedComplex vector bundle049ee2f9549d
addedBanach bundle8744b50d232f
addedVector bundles as special fiber bundlesf5292ee9c4d5
addedSmooth vector bundleb10ba66318e8
addedCharacterization by smooth transition functions6618e5990253
addedC^r, analytic, holomorphic, algebraic bundlesc5098ba70b48
addedVertical lift identification of tangent spaced89c9307e9a6
addedCanonical vector fielde29ef66de195
addedCanonical vector field characterizes bundle structure2a07204dd97d
addedSecondary vector bundle structure on TEd9a7e8528cf2
addedK-theory group6ad97c328bfc
addedBott periodicity theoremc57f4f35f9e7
addedK-theory of sheaves and bundles on smooth schemes91e97f0941a2