Scissors Congruences, Group Homology And Characteristic Classes
Book Details
Format
Paperback / Softback
Book Series
Nankai Tracts in Mathematics
ISBN-10
9810245084
ISBN-13
9789810245085
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 1st, 2001
Print length
176 Pages
Weight
449 grams
Dimensions
23.40 x 15.60 x 1.20 cms
Product Classification:
Euclidean geometryTopology
Ksh 7,750.00
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These lecture notes are based on lectures given at the Nankai Institute of Mathematics in 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"?
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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