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2-Knots and their Groups : Australian Mathematical Society Lecture Series - Jonathan Hillman

2-Knots and their Groups

Australian Mathematical Society Lecture Series

Paperback Published: 29th May 1989
ISBN: 9780521378123
Number Of Pages: 176

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To attack certain problems in 4-dimensional knot theory the author draws on a variety of techniques, focusing on knots in ST4, whose fundamental groups contain abelian normal subgroups. Their class contains the most geometrically appealing and best understood examples. Moreover, it is possible to apply recent work in algebraic methods to these problems. New work in four-dimensional topology is applied in later chapters to the problem of classifying 2-knots.

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"This is a book which belongs on the shelves of every knot theorist, indeed of everyone interested in the interplay between algebra and geometric topology. The subject is hard but the treatment is masterly." Mathematical Reviews

Knots and Related Manifolds
The Knot Group
Localization and Asphericity
The Rank 1 Case
The Rank 2 Case
Ascending Series and the Large Rank Cases
The Homotopy Type of M(K)
Applying Surgery to Determine the Knot.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521378123
ISBN-10: 0521378125
Series: Australian Mathematical Society Lecture Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 176
Published: 29th May 1989
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.04
Weight (kg): 0.27

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