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

By Geoffrey Hemion.

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

Description

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 classifi...

ISBN(s)

0198596979, 9780198596974

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