منابع مشابه
An Exact Sequence in Differential Topology
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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The notion of quasi-exact sequence of modules was introduced by B. Davvaz and coauthors in 1999 as a generalization of the notion of exact sequence. In this paper we investigate further this notion. In particular, some interesting results concerning this concept and torsion functor are given.
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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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Given a three-dimensional complex algebraic variety with isolated singular point and a sufficiently fine complete resolution of the singularity, we can make a careful choice of hyperplane that allows us to construct an exact sequence of weighted Nash complexes.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1960
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1960-10486-7