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Introduction to Piecewise-Linear Topology

  • Colin P. Rourke
  • Brian J. Sanderson

Part of the Springer Study Edition book series (volume 69)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Colin P. Rourke, Brian J. Sanderson
    Pages 1-10
  3. Colin P. Rourke, Brian J. Sanderson
    Pages 11-30
  4. Colin P. Rourke, Brian J. Sanderson
    Pages 31-49
  5. Colin P. Rourke, Brian J. Sanderson
    Pages 50-59
  6. Colin P. Rourke, Brian J. Sanderson
    Pages 60-73
  7. Colin P. Rourke, Brian J. Sanderson
    Pages 74-90
  8. Colin P. Rourke, Brian J. Sanderson
    Pages 91-96
  9. Back Matter
    Pages 97-126

About this book

Introduction

The first five chapters of this book form an introductory course in piece­ wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise­ linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen­ dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo­ metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.

Keywords

algebra theorem topology

Authors and affiliations

  • Colin P. Rourke
    • 1
  • Brian J. Sanderson
    • 1
  1. 1.The University of WarwickEngland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-81735-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1982
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-11102-3
  • Online ISBN 978-3-642-81735-9
  • Series Print ISSN 0071-1136
  • Buy this book on publisher's site