Deformation of Morse functions. I
type: Item
instance of: scholarly article
title: Deformation of Morse functions. I
zbMATH Open document ID: 0685.58011
DOI: 10.1007/BF01060389
published in: Ukrainian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The onset of this paper is to establish necessary and sufficient conditions for the existence of three types of deformations (homotopic, isotopic and adjoint) between two exact Morse functions i.e. functions whose number of critical points is minimal, on closed simply-connected manifolds. The techniques here used are some natural stratifications, the h-cobordism theorem and the Paley index theorem. This paper extends some related results of the author.
reviewed by: G. Sebe
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 4122877
zbMATH Keywords: homotopy
zbMATH Keywords: deformations
zbMATH Keywords: Morse functions
zbMATH Keywords: stratifications
zbMATH Keywords: Paley index theorem
author: V. Sharko
MaRDI profile type: Publication
cites work: Q3319443
cites work: On the Structure of Manifolds
cites work: Simply connected five-manifolds
cites work: Q4728884
cites work: On Handle Decompositions and Diffeomorphisms
cites work: On the minimal ordered Morse functions on compact simply-connected manifolds
cites work: Q3889791
cites work: Q3923289
cites work: The minimal relation modules of a finite Abelian group
cites work: Q5543303
full work available at URL: https://doi.org/10.1007/bf01060389
OpenAlex ID: W2001088443
description: scientific article; zbMATH DE number 4122877