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Remarks on differentiable structures on spheres

1961
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Journal of the Mathematical Society of Japan
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J. Milnor [2] defined the invariant 2' for compact unbounded oriented differentiable (4k-1)-manifolds which are homotopy spheres and boundaries of irmanifolds at the same time, and proved that the invariant 2' characterizes the J -equivalence classes of these (4k-1)-manifolds for k > 1. Recently S. Smale [3] has shown that a compact unbounded (oriented) differentiable n-manifold (n > 5) having the homotopy type of Sn is homeomorphic to Sn and that two such manifolds belonging to the same f

doi:10.2969/jmsj/01340383
fatcat:fui5wiw5u5gwtnhpd7wzo6dbyy