On smooth \(\text{rank}\)-1 mappings of Banach spaces onto the plane
type: Item
instance of: scholarly article
title: On smooth \(\text{rank}\)-1 mappings of Banach spaces onto the plane
zbMATH Open document ID: 0785.46043
author: Sean M. Bates
published in: Journal of Differential Geometry
publication date: 1994-01-16T00:00:00Z
review text: For any separable infinite-dimensional Banach space \(E\) we construct a surjective \(C^ \infty\) mapping \(f: E\to\mathbb{R}^ 2\) satisfying \(\text{rank }Df(v)\leq 1\) for all \(v\in E\).
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 444970
zbMATH Keywords: Sard's theorem
zbMATH Keywords: critical values
zbMATH Keywords: separable infinite-dimensional Banach
zbMATH Keywords: surjective \(C^ \infty\) mapping
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214453907
OpenAlex ID: W1490312606
Wikidata QID: Q115180188
DOI: 10.4310/JDG/1214453907
description: scientific article; zbMATH DE number 444970