Książka Ends of Complexes Bruce HughesAndrew Ranicki

Ends of Complexes

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 14-21 dni
707.23
The ends of a topological space are the directions in which it becomes non-compact by tending to inf...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
1996
strony
380
EAN
9780521576253
ISBN
0521576253
Enbook ID
02035886
Waga
730
Wymiary
152 x 229 x 25

Pełny opis

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.

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