Existence of foliations of Euclidean spaces with all leaves compact
type: Item
instance of: scholarly article
title: Existence of foliations of Euclidean spaces with all leaves compact
zbMATH Open document ID: 0816.57018
DOI: 10.1007/BF01445100
published in: Mathematische Annalen
publication date: 1995-07-20T00:00:00Z
full work available at URL: https://eudml.org/doc/165080
review text: Theorem: Given integers \(q\), \(n\) with \(0\leq q< n\). Then \(\mathbb{R}^ n\) admits a \(C^ 0\)-foliation of codimension \(q\) with all leaves compact if and only if \(q\geq 2\).
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 57N15
Mathematics Subject Classification ID: 37C10
zbMATH DE Number: 537292
zbMATH Keywords: \(C^ 0\)-foliation
zbMATH Keywords: all leaves compact
author: Elmar Vogt
reviewed by: Andrzej Piatkowski
MaRDI profile type: Publication
cites work: Q5795840
cites work: Periodic flows on three-manifolds
cites work: Foliations with all leaves compact
cites work: Structure of a foliated neighbourhood
cites work: Q5797677
cites work: Deformation of homeomorphisms on stratified sets
cites work: A periodic flow with infinite Epstein hierarchy
cites work: A foliation of \({\mathbb{R}}^ 3\) and other punctured 3-manifolds by circles
description: scientific article; zbMATH DE number 537292