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 &q...

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Bibliographische Detailangaben

1. Verfasser:	Dupont, Johan L. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore World Scientific Pub. Co. c2001
Schriftenreihe:	Nankai tracts in mathematics 1
Schlagworte:	Tetrahedra Volume (Cubic content) Characteristic classes Homologische Algebra Algebraische K-Theorie Hilbertsches Problem 3
Online-Zugang:	FHN01 URL des Erstveroeffentlichers
Zusammenfassung:	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
Beschreibung:	viii, 168 p. ill
ISBN:	9789812810335