The Immersion of Manifolds
نویسنده
چکیده
1. M. Hirsch [3] has shown that the immersion problem for manifolds is just a cross section problem for the stable normal bundle. Our object here is to find conditions under which sections of the tangent bundle will imply sections in the normal bundle (and conversely). First we need some notation. Given an integer /, let j(t) be the maximum integer such that the 2*-f old Whitney sum of the Hopf bundle over RP^~ is trivial. If £ is a stable bundle, let gd(£) denote the geometric dimension of £.
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تاریخ انتشار 2007