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Ends of Complexes

Name: Ends of Complexes
Brand: Cambridge University Press
SKU: 9780521055192
Price: 397.92 RON
Availability: InStock

Autor: Bruce HughesAndrew Ranicki

Limbă:

Legare: Carte broșată

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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397.92 lei

The ends of a topological space are the directions in which it becomes non-compact by tending to inf...

Informații despre carte

Autor

Bruce HughesAndrew Ranicki

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2008

Pagini

380

EAN

9780521055192

ISBN

0521055199

Enbook ID

02020109

Editura

Cambridge University Press

Greutate

576

Dimensiuni

151 x 228 x 21

Descriere completă

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.