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In mathematics, a bundle is a generalization of a fiber bundle dropping the condition of a local product structure. The requirement of a local product structure rests on the bundle having a topology. Without this requirement, more general objects can be considered bundles. For example, one can consider a bundle π: ''E''→ ''B'' with ''E'' and ''B'' sets. It is no longer true that the preimages π − 1(''x'') must all look alike, unlike fiber bundles where the fibers must all be isomorphic (in the case of vector bundles) and homeomorphic. == Definition == A bundle is a triple where are sets and a map.〔 p 11.〕 * is called the total space * is the base space of the bundle * is the projection This definition of a bundle is quite unrestrictive. For instance, the empty function defines a bundle. Nonetheless it serves well to introduce the basic terminology, and every type of bundle has the basic ingredients of above with restrictions on and usually there is additional structure. For each is the fibre or fiber of the bundle over . A bundle is a subbundle of if and . A cross section is a map such that for each , that is, . 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「Bundle (mathematics)」の詳細全文を読む スポンサード リンク
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