Topology of special generic maps of manifolds into Euclidean spaces
type: Item
instance of: scholarly article
title: Topology of special generic maps of manifolds into Euclidean spaces
zbMATH Open document ID: 0768.57015
DOI: 10.1016/0166-8641(93)90116-U
author: Osamu Saeki
published in: Topology and its Applications
publication date: 1993-06-29T00:00:00Z
review text: The author studies the global topology of special generic maps; i.e., smooth maps of closed \(n\)-manifolds into \(\mathbb{R}^ p\) \((p\leq n)\) all of whose singularities are the definite fold points. One of the main results is to determine completely those closed manifolds which admit special generic maps into \(\mathbb{R}^ 2\). This result is the final form. Partial results of it were given in [\textit{O. Burlet} and \textit{G. de Rham}, Enseign. Math., II. Sér. 20, 275-292 (1974; Zbl 0299.58005)] for \(n=3\) and [\textit{P. Porto jun.} and \textit{Y. K. S. Furuya}, Topology Appl. 35, No. 1, 41-52 (1990; Zbl 0715.57015)] for \(n>3\). This paper also contains many other results.
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 58K99
zbMATH DE Number: 221869
zbMATH Keywords: smooth maps of closed \(n\)-manifolds into \(\mathbb{R}^ p\)
zbMATH Keywords: fold points
zbMATH Keywords: special generic maps into \(\mathbb{R}^ 2\)
reviewed by: Shyuichi Izumiya
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 221869