English

Morse Cells

Geometric Topology 2016-10-28 v2

Abstract

Along with excursions into manifolds with corners, resolution towers of Thom and Whitney stratifications, I show that for a generic gradientlike vector field on a manifold with a Morse function, the stable manifolds give a CW decomposition of the manifold. This has been done before.

Keywords

Cite

@article{arxiv.1610.07509,
  title  = {Morse Cells},
  author = {Henry C. King},
  journal= {arXiv preprint arXiv:1610.07509},
  year   = {2016}
}

Comments

20 pages

R2 v1 2026-06-22T16:29:45.754Z