Topological methods in group theory

Geoghegan R.0387746111

Table of contents :
Preface……Page 6
Contents……Page 10
PART I: ALGEBRAIC TOPOLOGY FORGROUP THEORY……Page 14
CW Complexes and Homotopy……Page 15
Fundamental Group and TietzeTransformations……Page 85
Some Techniques in Homotopy Theory……Page 113
Elementary Geometric Topology……Page 136
PART II: FINITENESS PROPERTIES OFGROUPS……Page 152
The Borel Construction and Bass-Serre Theory……Page 153
Topological Finiteness Properties andDimension of Groups……Page 170
Homological Finiteness Properties of Groups……Page 189
Finiteness Properties of Some ImportantGroups……Page 204
PART III: LOCALLY FINITE ALGEBRAICTOPOLOGY FOR GROUP THEORY……Page 224
Locally Finite CW Complexes and ProperHomotopy……Page 225
Locally Finite Homology……Page 235
Cohomology of CW Complexes……Page 264
PART IV: TOPICS IN THE COHOMOLOGYOF INFINITE GROUPS……Page 288
Cohomology of Groups and Ends Of CoveringSpaces……Page 289
Filtered Ends of Pairs of Groups……Page 336
Poincar´e Duality in Manifolds and Groups……Page 355
PART V: HOMOTOPICAL GROUPTHEORY……Page 368
The Fundamental Group At Infinity……Page 369
Higher homotopy theory of groups……Page 410
PART VI: THREE ESSAYS……Page 429
18.1 l2-Poincar´e duality……Page 430
18.2 Quasi-isometry invariants……Page 432
18.3 The Bieri-Neumann-Strebel invariant……Page 438
References……Page 450
Index……Page 459