A Topological Reeb-milnor-rosen Theorem and Characterizations of Manifolds
نویسنده
چکیده
If each critical point is degenerate, then the conclusion that M is homeomorphic to a sphere is true. This was proved by Milnor [8] (1959) and by Rosen [10] (1960). With the aid of some techniques of Dyer and Hamstrom, recent results of Kirby, Edwards, and Cernavskii on spaces of homeomorphism on manifolds, and a selection theorem of Michael it is not difficult to establish the following topological version of Theorem A.
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تاریخ انتشار 2007