| Description |
1 online resource (viii, 168 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Nankai tracts in mathematics ; 1
|
|
Nankai tracts in mathematics ; v. 1.
|
| Bibliography |
Includes bibliographical references (pages 159-165) and index. |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Tetrahedra.
|
|
Tetrahedra. |
|
Volume (Cubic content)
|
|
Volume (Cubic content) |
|
Characteristic classes.
|
|
Characteristic classes. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Dupont, Johan L. Scissors congruences, group homology and characteristic classes. Singapore ; River Edge, NJ : World Scientific, ©2001 (DLC) 2001273068 |
| ISBN |
9789812810335 (electronic book) |
|
9812810331 (electronic book) |
|
1281951846 |
|
9781281951847 |
|
9789810245078 |
|
9810245076 |
|
9810245084 (paperback) |
|
