Contents
Forewords ix
Editor's foreword to the second edition xi
Introduction xv
Part 0: Preliminaries
Note on conventions 2
0. Basic homotopy notions 3
1. Surgery below the middle dimension 8
1A. Appendix: applications 17
2. Simple Poincare complexes 21
Part 1: The main theorem
3. Statement of results 32
4. An important special case 39
5. The even-dimensional case 44
6. The odd-dimensional case 57
7. The bounded odd-dimensional case 74
8. The bounded even-dimensional case 82
9. Completion of the proof 91
Part 2: Patterns of application
10. Manifold structures on Poincare complexes 106
11. Applications to submanifolds 118
12. Submanifolds: other techniques 138
12A. Separating submanifolds 142
12B. Two-sided submanifolds 149
12C. One-sided submanifolds 155
Part 3: Calculations and applications
13A. Calculations: surgery obstruction groups 172
13B. Calculations: the surgery obstructions 185
14. Applications: free actions on spheres 195
14A. General remarks 195
14B. An extension of the Atiyah-Singer G-signature theorem 199
14C. Free actions of S1 202
14D. Fake projective spaces (real) 206
14E Fake lens spaces 213
15. Applications: free uniform actions on euclidean space 231
15A. Fake tori 232
15B. Polycyclic groups 237
16. Applications to 4-manifolds 241
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