On tubular neighbourhoods of manifolds. I
Published online by Cambridge University Press: 24 October 2008
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
References
REFERENCES
- 5
- Cited by