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On the h-enclosability of spheres†

Published online by Cambridge University Press:  24 October 2008

P. L. Antonelli
P. L. Antonelli
Affiliation:
University of Tennessee, Knoxville, Tennessee, U.S.A.
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Let Bk, Mn, Np be manifolds in the category C = Top, Duff or PL. Define Mn and Np to be h-enclosable in Bk if (1) k = n + p + 1, (2) there are C-imbeddings i:Mn ⊆ Bk and j: Np ⊆ Bk with disjoint images and (3) there are de formation retractions of Bk − i(Mn) onto j(Np) and of Bk − j(NP) onto i(Mn). This is expressed as Bk = [Mn, NP/i, j] (mod C). The manifolds are trivially h-enclosable in Bk if, in addition, each manifold has a product tubular neighbourhood in the category C.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 72 , Issue 2 , September 1972 , pp. 185 - 188
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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