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Scissors Congruences, Group Homology and Characteristic Classes (Nankai Tracts in Mathematics, V. 1.) [Paperback]

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Item description for Scissors Congruences, Group Homology and Characteristic Classes (Nankai Tracts in Mathematics, V. 1.) by Johan L. Dupont...

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", ie. 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, characteristics 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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Item Specifications...


Studio: World Scientific Publishing Company
Pages   168
Est. Packaging Dimensions:   Length: 0.5" Width: 6" Height: 8.25"
Weight:   0.55 lbs.
Binding  Softcover
Release Date   Feb 26, 2001
Publisher   Singapore University Press
ISBN  9810245084  
ISBN13  9789810245085  


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1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology
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4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
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