منابع مشابه
An Exact Sequence for Submersions
As our second example we consider the case where TT is a differentiable submersion (in the usual sense) of codimension 1. Thus we assume that X, B are C°°-manifolds of dimensions n + 1 and n, respectively, and that TT is a regular differentiate map. Such a submersion is orientable if the induced line element field on X is orientable, and w will be called simple if w~(b) is connected for all bÇEB.
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We now describe these groups briefly. To obtain T, divide the group of diffeomorphisms of the n — 1 sphere S" by the normal subgroup of those diffeomorphisms that are extendable to the w-ball. See [2] for details. The set 0 is the set of /-equivalence classes of closed, oriented, differentiable w-manifolds that are homotopy spheres. If M is an oriented manifold, let —If be the oppositely orient...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1968
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1968-11899-3