Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Structures on foliations

Tools
- Tools
+ Tools

Harrison, Jenny (1975) Structures on foliations. PhD thesis, University of Warwick.

[img]
Preview
PDF
WRAP_Theses_Harrison_1975.pdf - Unspecified Version - Requires a PDF viewer.

Download (2726Kb) | Preview
Official URL: http://webcat.warwick.ac.uk/record=b1747278~S15

Request Changes to record.

Abstract

In this thesis we consider various structures on foliations. In Chapter I we look at PL and topological foliations and note that not every topological foliation can he made PL. We show that every proper leaf has a microbundle normal to the foliation with holonomy structure group. For transverse foliations the fibres can be chosen not only normal to the leaves of the foliation containing the base leaf, but contained in the leaves of the other foliation. Thus normal microbundles are unique up to isotopy. We also look into the relationship between the holonony group and the foliated neighbourhood of a leaf.

In Chapter II we study differentiable structures on foliations, showing that differentiability conditions are meaningful in a topological sense. We do this by constructing an example of a Cʳ foliation which is not homeomorphic to any Cʳ⁺¹ foliation, r>0. (The example is the suspension of a diffeomorphism of a two-manifold.) Using results from Chapter I we also show that the foliation is not Cˢ integrably homotopic to any Cʳ⁺¹ foliation, 0<s<r.

Item Type: Thesis (PhD)
Subjects: Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH): Foliations (Mathematics)
Official Date: May 1975
Dates:
DateEvent
May 1975Submitted
Institution: University of Warwick
Theses Department: Mathematics Institute
Thesis Type: PhD
Publication Status: Unpublished
Supervisor(s)/Advisor: Rourke, C. P. (Colin Patrick)
Sponsors: Marshall Aid Commemoration Commission
Extent: 39 leaves
Language: eng

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us