On the stabilization of embedded thickenings
Algebraic Topology
2014-09-18 v2
Abstract
We define a space of relative embedded thickenings of a given map from a finite complex to a Poincare Duality space, and show that there is a highly connected stabilization map between such spaces induced by fiberwise suspension. As a result, we obtain a generalization to the Poincare Duality category of a smooth stabilization theorem of Connolly and Williams.
Cite
@article{arxiv.1204.2781,
title = {On the stabilization of embedded thickenings},
author = {John W. Peter},
journal= {arXiv preprint arXiv:1204.2781},
year = {2014}
}
Comments
Updated exposition. Appendix added