The homotopy type of Fredholm manifolds
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- by Kalyan K. Mukherjea PDF
- Trans. Amer. Math. Soc. 149 (1970), 653-663 Request permission
Abstract:
Banach manifolds whose tangent bundles admit a reduction to the Fredholm group have been intensively studied in the last few years. Here we show that such a manifold (under appropriate smoothness and separability restrictions) is homotopy equivalent to the union of a nested sequence of closed finite-dimensional submanifolds.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 149 (1970), 653-663
- MSC: Primary 57.55
- DOI: https://doi.org/10.1090/S0002-9947-1970-0259954-4
- MathSciNet review: 0259954