Scissors Congruences, Group Homology and Characteristic Classes.

Dupont, Johan:

ISBN 10: 9810245084 ISBN 13: 9789810245085

Verlag: Singapore: World Scientific, 2001

Sprache: Englisch

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Series: Nankai Tracts in Mathematics. viii 168p paperback, amber and blue covers, like new condition, a fresh copy, firm binding, clean and neat pages, text and mathematical notation very clear and sharp, an excellent copy Language: English Weight (g): 250.

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Bibliografische Details

Titel

Scissors Congruences, Group Homology and Characteristic Classes.

Verlag

Singapore: World Scientific

Erscheinungsjahr

2001

Sprache

Englisch

ISBN-10

9810245084

ISBN-13

9789810245085

Einband

Paperback

Auflage

1. Auflage

Zustand

As New

Verk�uferkataloge

Mathematics

�ber diesen Titel

Inhaltsangabe

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.

Rese�a del editor

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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