Neighborhoods in Stratified Spaces with Two Strata
Geometric Topology
2012-06-12 v1
Abstract
We develop a theory of tubular neighborhoods for the lower strata in manifold stratified spaces with two strata. In these topologically stratified spaces, manifold approximate fibrations and teardrops play the role that fibre bundles and mapping cylinders play in smoothly stratified spaces. Applications include the classification of neighborhood germs, the construction of exotic stratifications, a multiparameter isotopy extension theorem and an h-coborsism extension theorem.
Keywords
Cite
@article{arxiv.math/9808113,
title = {Neighborhoods in Stratified Spaces with Two Strata},
author = {Bruce Hughes and Laurence R. Taylor and Shmuel Weinberger and Bruce Williams},
journal= {arXiv preprint arXiv:math/9808113},
year = {2012}
}
Comments
60 pages