Isbn: 9789810245078 - scissors congruences, group homolo..(v1) (nankai tracts in mathematics, v. 1., band 1) (2 Ergebnisse)

Hardcover. Zustand: Brand New. 168 pages. 8.50x6.25x0.50 inches. In Stock.

Buch. Zustand: Neu. Neuware - 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.…