Smoothing a topological manifold
type: Item
instance of: scholarly article
title: Smoothing a topological manifold
zbMATH Open document ID: 1026.57019
DOI: 10.1016/S0166-8641(01)00255-3
published in: Topology and its Applications
publication date: 2003-03-10T00:00:00Z
review text: Using dynamical systems methods the author gives a new proof of the well-known Cairns-Whitehead Theorem. This approach permits to find a numerical sufficient condition for smoothability of topological manifolds in terms of a Lipschitz constant. Since non-smoothable Lipschitz manifolds exist the author puts forward the problem to determine the exact value of a numerical barrier for smoothability.
Mathematics Subject Classification ID: 57R10
Mathematics Subject Classification ID: 57N40
zbMATH DE Number: 1879106
zbMATH Keywords: smoothability
zbMATH Keywords: lipeomorphism
zbMATH Keywords: slope
zbMATH Keywords: graph transform
zbMATH Keywords: Cairns-Whitehead theorem
author: Charles Pugh
MaRDI profile type: Publication
cites work: Homeomorphisms between topological manifolds and analytic manifolds
cites work: Finiteness Theorems for Riemannian Manifolds
cites work: Invariant manifolds
cites work: A manifold which does not admit any differentiable structure
cites work: Q5630397
cites work: Q3935869
cites work: Manifolds with transverse fields in euclidean space
cites work: Q3253193
full work available at URL: s0166-8641(01)00255-3
OpenAlex ID: W1984609693
description: scientific article; zbMATH DE number 1879106