| Scissors Congruences, Group Homology and Characteristic Classes Contributor(s): DuPont, Johan L. (Author), Zhang, Weiping (Editor) |
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ISBN: 9810245076 ISBN-13: 9789810245078 Publisher: World Scientific Publishing Company OUR PRICE: $80.75 Product Type: Hardcover - Other Formats Published: March 2001 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Analytic - Medical |
| Dewey: 516.2 |
| LCCN: 2001273068 |
| Series: Nankai Tracts in Mathematics |
| Physical Information: 0.65" H x 6.2" W x 8.82" (0.86 lbs) 176 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |