Foliated control theory. II
type: Item
instance of: scholarly article
title: Foliated control theory. II
zbMATH Open document ID: 0675.57014
DOI: 10.1007/BF00533390
published in: \(K\)-Theory
publication date: 1988-01-01T00:00:00Z
review text: [This article is reviewed together with the preceding one (see Zbl 0675.57013).] Let \(\rho\) : \(E\to M\) be a fiber bundle over a Riemannian manifold M having a compact manifold for fiber. Let F be a smooth foliation of M. The main results of these papers are control theorems for the space of stable pseudo-isotopies on E (Part I) and the structure space of E (Part II) with control near the leaves of F in M. It is assumed that each leaf of F inherits a flat Riemannian geometry from M. Alternative hypotheses will be considered in later papers.
Mathematics Subject Classification ID: 57R67
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 4105882
zbMATH Keywords: surgery classifying spaces
zbMATH Keywords: compact fiber
zbMATH Keywords: control near leaves
zbMATH Keywords: fiber bundle over a Riemannian manifold
zbMATH Keywords: smooth foliation
zbMATH Keywords: space of stable pseudo-isotopies
zbMATH Keywords: structure space
author: F. Thomas Farrell
author: Lowell Jones
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00533390
OpenAlex ID: W4242951570
description: scientific article; zbMATH DE number 4105882