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I dont know how can we topologize the structure group G of a fiber bundle P:E\rightarrow B by transition functions \psi_i^j (Osbern)

Do you know an easy and fundamental book on fiber and vector bundles? Thanks a lot

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    $\begingroup$ Your question would be appropriate for the math.stackexchange website. Please look at the FAQ. In a fairly general situation $G$ is the group of homeomorphisms of the fibre with compact-open topology. Steenrod's "Fiber Bundles" book while a little dated is still a wonderful book. $\endgroup$ Nov 3, 2010 at 14:40

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There's Steenrod's "The Topology of Fibre Bundles".

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