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Smooth manifolds of a given homotopy type
Published online by Cambridge University Press: 07 July 2004
Abstract
In the metastable range $3 \leq p < q < 2p - 3$, and modulo the action of the group of homotopy spheres, we classify diffeomorphism types of smooth manifolds that are homotopy equivalent to the products $S^{p} \times S^{q}$ of spheres.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 1 , July 2004 , pp. 175 - 189
- Copyright
- 2004 Cambridge Philosophical Society