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引用次数: 0
摘要
设θ n表示在连通和运算下的同伦n球的h协类群。H(p, q)是由∑p的同伦p球组成的子群，使得∑p x S w与∑p x S q微分同态。bP +1也是有可并行流形界的同伦p球的子群。本文将证明H(p,q) bP p+1是Hopf-Whitehead同态J的核同态:Π p S0(q+1)→Π p+ q+1 (S q+1>)
Let θ n denote the group of h-cobordism classes of homotopy n-sphere under the connected sum operation. H(p, q) is the subgroup of θ p consisting of those homotopy p-spheres ∑ p such that ∑ p x S w is diffeomorphic to S p x S q . Also bP p+1 is the subgroup of homotopy p-sphere which bounds parallelizable manifolds. In this paper, we will prove that H(p,q) bP p+1 is isomorphic to the Cokernel of Hopf-Whitehead homorphism J : Π p S0(q+1) → Π p + Q + 1 (S q+1>) JONAMP Vol. 11 2007: pp. 47-50
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