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Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
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High-dimensional Knot Theory - Algebraic Surgery in Codimension 2 (Hardcover, 1998 ed.)
Loot Price: R3,280
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High-dimensional Knot Theory - Algebraic Surgery in Codimension 2 (Hardcover, 1998 ed.)
Series: Springer Monographs in Mathematics
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High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory. Many results in the research literature are thus brought into a single framework, and new results are obtained. The treatment is particularly effective in dealing with open books, which are manifolds with codimension 2 submanifolds such that the complement fibres over a circle. The book concludes with an appendix by E. Winkelnkemper on the history of open books.
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