vix.ing · top · new · best · stats · spec

Morse Cells

2016/10/24 by Henry C. King, King, Henry C.
Earth and Planetary Sciences · Mathematics · #57R99 #58A35 #Advanced Differential Equations and Dynamical Systems #Evolution and Paleontology Studies #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1610.07509

openalex publication_date 2016/10/24 · openalex created_date 2022/08/27 · openalex updated_date 2026/07/28

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.

Related