Wrinkling of smooth mappings. III. Foliations of codimension greater than one
type: Item
instance of: scholarly article
title: Wrinkling of smooth mappings. III. Foliations of codimension greater than one
zbMATH Open document ID: 0927.58022
DOI: 10.12775/TMNA.1998.021
published in: Topological Methods in Nonlinear Analysis
publication date: 1999-05-05T00:00:00Z
review text: The first paper of the authors with the same title is devoted to the foundations of the wrinkling method concerning singularities of smooth maps [Invent. Math. 130, No. 2, 345-369 (1997; Zbl 0896.58010)]. The present paper is devoted to applications of this technique in foliation theory. The authors prove the theorem of regularization of augmented Haefliger structures established by \textit{W. P. Thurston} [Comment. Math. Helv. 49, 214-231 (1974; Zbl 0295.57013)] and by the authors, with an alternative proof, in [Funkts. Anal. Prilozh. 11, 43-53 (1977; Zbl 0449.57005)]. Moreover, they prove a multiparametric version of the above result.
Mathematics Subject Classification ID: 58K05
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 57R32
zbMATH DE Number: 1270106
zbMATH Keywords: wrinkling method
zbMATH Keywords: singularities of smooth maps
zbMATH Keywords: foliation theory
zbMATH Keywords: regularization of augmented Haefliger structures
author: Yakov Eliashberg
author: Nikolai Mishachev
reviewed by: Enrique Outerelo
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1270106