Talk:Vector bundle
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This definition seems a bit weird. The definition should be of either smooth vector bundle or the general notion of vector bundle without restricting cases where the base space is a smooth manifold. The definition of smooth vector bundle includes restrictions on the transition functions too.
The phrasing is too dense: hard to edit from here. In what sense is the fibre 'isomorphic' to V? What category is that in?
Charles Matthews 09:15, 29 Nov 2003 (UTC)
Also: what is a "smooth projection from a vector space to a manifold"? The term "smooth" only applies to maps between two smooth manifolds, and the term "projection" only applies to a map from a direct product to one of the factors. AxelBoldt 15:05, 4 Dec 2003 (UTC)