Abstract
In this section we take up the discussion of fibrewise differential topology begun in Part I, Section 22. As we observed there, fibrewise manifolds appeared in the work of Atiyah and Singer [5] on the Index Theorem for families of elliptic pseudodifferential operators and were there called manifolds over a base. The definition that we give here is rather more general than that given by Atiyah and Singer, although their definition covers most of the important examples. We broaden the definition in such a way that open subspaces of fibrewise manifolds are also regarded as fibrewise manifolds.
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© 1998 Springer-Verlag London Limited
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Crabb, M.C., James, I.M. (1998). Manifold Theory. In: Fibrewise Homotopy Theory. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-4471-1265-5_6
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DOI: https://doi.org/10.1007/978-1-4471-1265-5_6
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1267-9
Online ISBN: 978-1-4471-1265-5
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