Coordinate free Morse theory
type: Item
instance of: scholarly article
title: Coordinate free Morse theory
zbMATH Open document ID: 0727.58010
DOI: 10.1007/BF02568406
author: John R. Klein
published in: Manuscripta Mathematica
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155616
review text: It is shown that the assignment of a cell-complex to a Morse function on a compact smooth manifold can be achieved uniquely up to a contractible space of parameters and continuously in an appropriate sense with respect to these parameters among which being the Riemannian metrics on the manifold.
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 57R70
zbMATH DE Number: 4201190
zbMATH Keywords: homotopy equivalence
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: cell-complex
zbMATH Keywords: Morse function
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
cites work: Q4046802
cites work: Morse Theory. (AM-51)
cites work: Q5720367
description: scientific article; zbMATH DE number 4201190