1 Vector Spaces

The Topology of Fiber Bundles Lecture Notes

1.1. Vector Bundles. Definition 1.3. An n- dimensional vector bundle over a field k is a locally trivial fibration p: E→Bwith fiber an n- dimensional k - vector space V satisfying the additional requirement that the local trivializations ψ: p−1(U) →U×V induce k - …

  Brief, Vector, Bundle, Vector bundle