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Scissors Congruences, Group Homology and Characteristic Classes (Nankai Tracts in Mathematics): 1 - Softcover

 
9789810245085: Scissors Congruences, Group Homology and Characteristic Classes (Nankai Tracts in Mathematics): 1

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These lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998. They provide an overview of the work of the author and the late Chih-Han Sah on various aspects of Hilbert's Third Problem: Are two Euclidean polyhedra with the same volume “scissors-congruent”, i.e. can they be subdivided into finitely many pairwise congruent pieces? The book starts from the classical solution of this problem by M Dehn. But generalization to higher dimensions and other geometries quickly leads to a great variety of mathematical topics, such as homology of groups, algebraic K-theory, characteristic classes for flat bundles, and invariants for hyperbolic manifolds. Some of the material, particularly in the chapters on projective configurations, is published here for the first time.

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9789810245078: Scissors Congruences, Group Homology and Characteristic Classes (Nankai Tracts in Mathematics): 1

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ISBN 10:  9810245076 ISBN 13:  9789810245078
Publisher: World Scientific Publishing Co P..., 2001
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Taschenbuch. Condition: Neu. Neuware - These lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998. They provide an overview of the work of the author and the late Chih-Han Sah on various aspects of Hilbert's Third Problem: Are two Euclidean polyhedra with the same volume ¿scissors-congruent¿, i.e. can they be subdivided into finitely many pairwise congruent pieces The book starts from the classical solution of this problem by M Dehn. But generalization to higher dimensions and other geometries quickly leads to a great variety of mathematical topics, such as homology of groups, algebraic K-theory, characteristic classes for flat bundles, and invariants for hyperbolic manifolds. Some of the material, particularly in the chapters on projective configurations, is published here for the first time. Seller Inventory # 9789810245085

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