Ends of Complexes

Name: Ends of Complexes
SKU: 2037105
Price: 165.00 NZD
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Paperback / softback

Series:

Cambridge Tracts in Mathematics

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$165.00

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Description

The ends of a topological space are the directions in which it becomes non-compact by tending to infinity. The tame ends of manifolds are particularly interesting, both for their own sake, and for their use in the classification of high-dimensional compact manifolds. The book is devoted to the related theory and practice of ends, dealing with manifolds and CW complexes in topology and chain complexes in algebra. The first part develops a homotopy model of the behaviour at infinity of a non-compact space. The second part studies tame ends in topology. Tame ends are shown to have a uniform structure, with a periodic shift map. Approximate fibrations are used to prove that tame manifold ends are the infinite cyclic covers of compact manifolds. The third part translates these topological considerations into an appropriate algebraic context, relating tameness to homological properties and algebraic K- and L-theory.

Release date NZ

January 21st, 2008

Author

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises

Pages

380

Series

Cambridge Tracts in Mathematics

Dimensions

151x228x21

ISBN-13

9780521055192

Product ID

2037105

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