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Induced fibrations on spaces of fiber transferring maps: The \(C^r\) case. (English) Zbl 1034.57025

Summary: For \(C^r\) differentiable manifolds \(E\) and \(B\) of the same dimension, and \(\pi:E\to B\) a local \(C^r\) diffeomorphism and onto, we examine, as with the topological case, the extent to which some basic properties of \(\pi\) are inherited by the induced map \(p\) on spaces of fiber transferring maps with respect to \(\pi\).

MSC:

57R35 Differentiable mappings in differential topology
55R05 Fiber spaces in algebraic topology
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