Algebraic L-theory and Topological Manifolds

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Cambridge University Press, Dec 10, 1992 - Mathematics - 358 pages
"However, research mathematicians applying ideas from algebraic and geometric topology in areas such as number theory or algebra will also benefit from this authoritative account."--BOOK JACKET.
 

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Contents

Summary
21
Algebra
23
1 Algebraic Poincaré complexes
25
2 Algebraic normal complexes
38
3 Algebraic bordism categories
51
4 Categories over complexes
63
5 Duality
74
6 Simply connected assembly
80
16 The Ltheory orientation of topology
173
17 The total surgery obstruction
189
18 The structure set
195
19 Geometric Poincaré complexes
202
20 The simply connected case
209
21 Transfer
214
22 Finite fundamental group
221
23 Splitting
257

7 Derived product and Hom
85
8 Local Poincaré duality
89
9 Universal assembly
98
10 The algebraic TT theorem
109
11 Asets
117
12 Generalized homology theory
122
13 Algebraic Lspectra
134
14 The algebraic surgery exact sequence
144
15 Connective Ltheory
151
Topology
171
24 Higher signatures
269
25 The 4periodic theory
284
26 Surgery with coefficients
302
Appendix A The nonorientable case
307
Appendix B Assembly via products
317
Assembly via bounded topology
323
Bibliography
343
Index
354
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