The Classification of Knots and 3-Dimensional Spaces (Oxford Science Publications) - Hardcover

Hemion, Geoffrey

Hardcover

ISBN 10: 0198596979 ISBN 13: 9780198596974

Publisher: Oxford University Press, 1992

Synopsis

Knot theory has recently emerged as a productive field of study in both the physical and mathematical sciences. This book is concerned with the fundamental question of the classification of knots, and more generally the classification of arbitrary (compact) topological objects which can occur in the normal space of physical reality. The author explains his classification algorithm--using the method of normal surfaces--in a simple and concise way. The reader is thus shown the relevance of such traditional mathematical objects as the Klein bottle or the hyperbolic plane to this basic classification theory. The Classification of Knots and 3-Dimensional Spaces will be of interest to mathematicians, physicists, and other scientists who want to apply this algorithm to their research in knot theory.

About this title

Review

an informal account of Haken's classification of sufficiently large 3-manifolds by means of normal surfaces ... appropriate for someone who wants a broad overview of this theorem in 3-dimensional topology * Martin Scharlemann, Mathematical Reviews, Issue 94g *

Edition details

• Publisher: Oxford University Press
• Publication date: 1992
• ISBN 10: 0198596979
• ISBN 13: 9780198596974
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 168