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On tubular neighbourhoods of manifolds. I

Published online by Cambridge University Press:  24 October 2008

Morris W. Hirsch
Morris W. Hirsch
Affiliation:
University of California, Berkeley
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Extract

Introduction. Let X be a submanifold of Y, in either the topological, smooth, or piecewise linear ( = PL) categories. A normal cell bundle on X in Y is a bundle ξ = (p, E, X) in the category whose fibre is a closed cell, and such that E is a neighbourhood of X in Y and p: E → X is a retraction. The triple (Y, X, ξ) is a tubular neighbourhood, or briefly, a tube. For convenience we may refer to a tube by its cell bundle.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 2 , April 1966 , pp. 177 - 181
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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