Surgery Theory

1 Introduction.- 2 The s-Cobordism Theorem.- 3 Whitehead Torsion.- 4 The Surgery Step and ?-Bordism.- 5 Poincare Duality.- 6 The Spivak Normal Structure.- 7 Normal Maps and the Surgery Problem.- 8 The Even-Dimensional Surgery Obstruction.- 9 The Odd-Dimensional Surgery Obstruction.- 10 Decorations and the Simple Surgery Obstruction.- 11 The Geometric Surgery Exact Sequence.- 12 Homotopy Spheres.- 13 The Geometric Surgery Obstruction Group and Surgery Obstruction.- 14 Chain Complexes.- 15 Algebraic Surgery.- 16 Brief Survey of Computations of L-Groups.- 17 The Homotopy Type of G/TOP, G/PL, and G/O.- 18 Computations of Topological Structure Sets of some Prominent Closed Manifolds.- 19 Topological Rigidity.- 20 Modified Surgery.- 21 Solutions of the Exercises.

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• Topologia

surgery step;normal map;Poincare complexes;L-groups;surgery obstructions;surgery exact sequence;algebraic surgery;classification of manifolds;homotopy spheres;fake spaces;topological rigidity;modified surgery