Controlled Simple Homotopy Theory and Applications

T. A. Chapman (auth.)3540123385, 9783540123385

Table of contents :
Introduction….Pages 1-5
Applications….Pages 5-11
Definitions and notation….Pages 11-13
Construction of Wh(y) ε ….Pages 13-17
Functorial properties….Pages 17-19
Controlled whitehead torsion….Pages 19-26
Construction of K 0 (Y) ε ….Pages 26-28
Controlled finiteness obstruction….Pages 28-33
Further properties of the controlled finiteness obstruction….Pages 33-41
The splitting homomorphism….Pages 41-50
The splitting sequence….Pages 50-59
The realization theorem….Pages 60-70
Calculations….Pages 70-79
The Controlled Boundary Theorem….Pages 79-84
The Controlled s-Cobordism Theorem….Pages 84-89