Scissors Congruences, Group Homology and Characteristic Classes.

Dupont, Johan:

ISBN 10: 9810245084 ISBN 13: 9789810245085

Editorial: Singapore: World Scientific, 2001

Idioma: Ingl�s

Condici�n: Usado - Como Nuevo Encuadernaci�n de tapa blanda

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Descripci�n

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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Detalles bibliogr�ficos

T�tulo

Scissors Congruences, Group Homology and Characteristic Classes.

Editor

Singapore: World Scientific

Fecha de publicaci�n

2001

Idioma

Ingl�s

ISBN 10

9810245084

ISBN 13

9789810245085

Encuadernaci�n

Paperback

Edici�n

1� Edici�n

Estado

As New

Peso

250 gramos

Cat�logos de vendedores

Mathematics

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Sinopsis

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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