Ends of Complexes

Name: Ends of Complexes
Price: 64.73 USD
Availability: InStock
ISBN: 9780521055192

ISBN-10: 0521055199

ISBN-13: 9780521055192

Edition: 2008

Authors: Bruce Hughes, Andrew Ranicki

List price: $62.99

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Description:

The ends of a topological space are the directions in which it becomes noncompact 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 behavior at infinity of a noncompact space. The second part studies tame ends in topology. The authors show tame ends to have a uniform structure, with a periodic shift map. They use approximate fibrations to prove that tame manifold…

Book details

List price: $62.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 1/21/2008
Binding: Paperback
Pages: 380
Size: 5.94" wide x 8.98" long x 0.83" tall
Weight: 1.276
Language: English



Introduction


Chapter summaries



Topology at Infinity



End spaces



Limits



Homology at infinity



Cellular homology



Homology of covers



Projective class and torsion



Forward tameness



Reverse tameness



Homotopy at infinity



Projective class at infinity



Infinite torsion



Forward tameness is a homotopy pushout



Topology Over the Real Line



Infinite cyclic covers



The mapping torus



Geometric ribbons and bands



Approximate fibrations



Geometric wrapping up



Geometric relaxation



Homotopy theoretic twist glueing



Homotopy theoretic wrapping up and relaxation



The Algebraic Theory



Polynomial extensions



Algebraic bands



Algebraic tameness



Relaxation techniques



Algebraic ribbons



Algebraic twist glueing



Wrapping up in algebraic K- and L-theory



Appendices


References


Index