We now make further use of the notion of a family of vector spaces f: E → X over a topological space X introduced at the end of § 5. A homomorphism φ: E → E′ of a family f: E → X into a family f′: E′ → X is a continuous map φ which takes the fibre f −1(x) into (f′)−1(x) and is linear on the fibre for each point x ∈ X. If φ defines an isomorphism of the fibres, then φ is called an isomorphism.
KeywordsVector Bundle Fibre Bundle Elliptic Operator Marked Point Division Algebra
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