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Andrew A. Ranicki
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دانلود کتاب Algebraic L-theory and Topological Manifolds
by Andrew A. Ranicki|
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عنوان فارسی: جبری L-تئوری و توپولوژیکی منیفولد |
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جزییات کتاب
This book presents the definitive account of the applications of this algebra to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincaré duality space with a local quadratic structure in the chain homotopy type of the universal cover. The difference between the homotopy types of manifolds and Poincaré duality spaces is identified with the fibre of the algebraic L-theory assembly map, which passes from local to global quadratic duality structures on chain complexes. The algebraic L-theory assembly map is used to give a purely algebraic formulation of the Novikov conjectures on the homotopy invariance of the higher signatures; any other formulation necessarily factors through this one.
کتاب های مرتبط
Algebraic and Geometrical Methods in Topology: Conference on Topologic...
Louis F. McAuley (ed.), 1974 
Algebraic and Geometrical Methods in Topology: Conference on Topologic...
Louis F. McAuley (ed.), 1974 
Algebraic and Geometrical Methods in Topology: Conference on Topologic...
Louis F. McAuley (ed.), 1974 
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