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Princeton University Press Knots, Groups and 3-Manifolds: Papers Dedicated to the Memory of R.H. Fox: 84 (Annals of Mathematics Studies, 84)

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£87.98 £12.33 £28.84 £45.34 £61.85 £78.35 £94.86 10 June 2024 14 November 2024 20 April 2025 24 September 2025 01 March 2026

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Description

There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.

Product Specifications

Colour
Other
Format
paperback
Domain
Amazon UK
Release Date
21 August 1975
Listed Since
05 January 2007

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