翻訳と辞書 Words near each other ・ Pullampara ・ Pullampeta ・ Pullancheri ・ Pullapart ・ Pullappanaickenpalayam ・ Pullapää crisis ・ Pullar ・ Pullashakti ・ Pullattukunnel Temple, Elamgulam ・ Pullay ・ Pullazhi ・ Pullback ・ Pullback (category theory) ・ Pullback (differential geometry) ・ Pullback attractor ・ Pullback bundle ・ Pullback motor ・ Pulldown ・ Pulldown exercise ・ Pullea ・ Pullea (plant) ・ Pullea perryana ・ Pullea stutzeri ・ Pulled Apart by Horses ・ Pulled Apart by Horses (album) ・ Pulled hamstring ・ Pulled pork ・ Pulled Punches ・ Pulled rickshaw ・ Pulled tail Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Pullback bundle ： ウィキペディア英語版 Pullback bundle In mathematics, a pullback bundle or induced bundle〔 〕 is a useful construction in the theory of fiber bundles. Given a fiber bundle and a continuous map one can define a "pullback" of by as a bundle over . The fiber of over a point in is just the fiber of over . Thus is the disjoint union of all these fibers equipped with a suitable topology. ==Formal definition== Let be a fiber bundle with abstract fiber and let be a continuous map. Define the pullback bundle by :$f^E\; =\; \backslash \backslash subset\; B\text{'}\backslash times\; E$ and equip it with the subspace topology and the projection map given by the projection onto the first factor, i.e., :$\backslash pi\text{'}(b\text{'},e)\; =\; b\text{'}.\backslash ,$ The projection onto the second factor gives a map :$F\; \backslash colon\; f^E\; \backslash to\; E$ such that the following diagram commutes: :$\backslash begin$ f^E & \stackrel & E\\ ' \downarrow & & \downarrow \pi\\ B' & \stackrel f & B \end If is a local trivialization of then is a local trivialization of where :$\backslash psi(b\text{'},e)\; =\; (b\text{'},\; \backslash mbox\_2(\backslash varphi(e))).\backslash ,$ It then follows that is a fiber bundle over with fiber . The bundle is called the pullback of ''E'' by or the bundle induced by . The map is then a bundle morphism covering . 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Pullback bundle」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.