Titlebook: Surgery Theory; Foundations Wolfgang Lück,Tibor Macko Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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The Even-Dimensional Surgery Obstruction,In this chapter we shall give the solution to the surgery problem in even dimensions. We work in the smooth category unless explicitly stated otherwise.

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Algebraic Surgery,The main purpose of this chapter is to introduce a chain complex version of the .-groups and of the surgery obstructions and to identify them with the .-groups and surgery obstructions from Chapters 8 and 9, see Theorem 15.3 and Theorem 15.4.

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Topological Rigidity,In Section 19.2 we give a necessary and sufficient condition for topological rigidity in terms of the surgery exact sequence.

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Wolfgang Lück,Tibor MackoA comprehensive reference on surgery theory and its applications.Provides full details and clarifies many gaps in the literature.Includes 180 advanced exercises with solutions

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