Ends of Complexes
Book information
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 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. This book will appeal to researchers in topology and geometry.
Similar books
Ends of complexes
1996 · PDF
Lower K- and L-theory (London Mathematical Society Lecture Note Series, Series Number 178)
1992 · DJVU
Control and Relaxation over the Circle
2000 · DJVU
Exact Sequences in the Algebraic Theory of Surgery
1981 · DJVU
Lower K- and L-theory
1992 · DJVU
Geometric Topology: Localization, Periodicity and Galois Symmetry: The 1970 MIT Notes
2005 · PDF
Lower K- and L-theory
1992 · PDF
Algebraic and Geometric Surgery
2003 · PDF