On stratified Morse theory
type: Item
instance of: scholarly article
title: On stratified Morse theory
zbMATH Open document ID: 0936.58007
DOI: 10.1016/S0040-9383(98)00020-2
published in: Topology
publication date: 2000-05-14T00:00:00Z
review text: The ``Fundamental Theorem'' of stratified Morse theory [\textit{M. Goresky} and \textit{R. MacPherson}, `Stratified Morse theory', Springer Berlin (1988; Zbl 0639.14012)] characterizes the transition between different levels of the Morse function in terms of tangential and normal Morse data. The author presents a simplified proof of the theorem using the recent results of Du Plessis and Shiota concerning controlled vector fields.
reviewed by: Vitaly Moroz
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 57N80
Mathematics Subject Classification ID: 57R70
Mathematics Subject Classification ID: 58A35
Mathematics Subject Classification ID: 58K05
zbMATH DE Number: 1307832
zbMATH Keywords: stratified Morse theory
zbMATH Keywords: Morse function
zbMATH Keywords: critical points
author: Helmut A. Hamm
MaRDI profile type: Publication
Wikidata QID: Q126377366
description: scientific article; zbMATH DE number 1307832