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Introduction to Piecewise-Linear Topology - B. J. Sanderson - Bog

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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 omittedacknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783540111023
  • Indbinding:
  • Paperback
  • Sideantal:
  • 136
  • Udgivet:
  • 1. Januar 1982
  • Størrelse:
  • 155x8x235 mm.
  • Vægt:
  • 219 g.
  • 8-11 hverdage.
  • 16. Oktober 2024
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Beskrivelse af Introduction to Piecewise-Linear Topology

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 omittedacknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.

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