An interesting class of \(C^{1}\) foliations
type: Item
instance of: scholarly article
title: An interesting class of \(C^{1}\) foliations
zbMATH Open document ID: 1012.57044
DOI: 10.1016/S0166-8641(02)00089-5
author: John Cantwell
author: Lawrence Conlon
published in: Topology and its Applications
publication date: 2003-04-02T00:00:00Z
review text: The authors describe a class of depth two foliations in which certain growth conditions allow \(C^1\)-smoothability, but obstruct higher order smoothability. As a result, there exist uncountably many examples of \(C^1\)-foliations that are not homeomorphic to \(C^2\)-foliations, as well as uncountably many \(C^0\)-foliations that are not homeomorphic to \(C^1\)-foliations.
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 1891212
zbMATH Keywords: smoothability
zbMATH Keywords: proper foliation
zbMATH Keywords: depth
zbMATH Keywords: growth type
zbMATH Keywords: quasi-polynomial growth
reviewed by: Andrzej Piatkowski
MaRDI profile type: Publication
cites work: Q4307985
cites work: Foliations and the topology of 3-manifolds
cites work: Nonsmoothable, Unstable Group Actions
description: scientific article; zbMATH DE number 1891212