On tubular neighbourhoods of manifolds. I
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On tubular neighbourhoods of manifolds. I

Published Web Location

https://doi.org/10.1017/s0305004100039712
Abstract

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.

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