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- W1606827384 abstract "We define the pull-back of a smooth principal fibre bundle, and show that it has a natural principal fibre bundle structure. Next, we analyse the relationship between pull-backs by homotopy equivalent maps. The main result of this article is to show that for a principal fibre bundle over a paracompact manifold, there is a principal fibre bundle isomorphism between pull-backs obtained from homotopic maps. This enables simple proofs of several results on the structure of principal fibre bundles. No new results are obtained---this is simply an accessible presentation of an important idea." @default.
- W1606827384 created "2016-06-24" @default.
- W1606827384 creator A5082777109 @default.
- W1606827384 date "2001-05-19" @default.
- W1606827384 modified "2023-09-27" @default.
- W1606827384 title "An Introduction to Pull-backs of Bundles and Homotopy Invariance" @default.
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- W1606827384 hasPublicationYear "2001" @default.
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