Scissors Congruences, Group Homology And Characteristic Classes: 1 (Nankai Tracts in Mathematics) - Tapa dura

Dupont, Johan L

 
9789810245078: Scissors Congruences, Group Homology And Characteristic Classes: 1 (Nankai Tracts in Mathematics)
Tapa dura
ISBN 10: 9810245076 ISBN 13: 9789810245078
Editorial: World Scientific Publishing Co Pte Ltd, 2001

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.

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Reseña 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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
World Scientific Publishing Co Pte Ltd
Año de publicación
2001
Idioma
Inglés
ISBN 10 
9810245076
ISBN 13 
9789810245078
Encuadernación
Tapa dura
Número de páginas
176
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9789810245085: Scissors Congruences, Group Homology And Characteristic Classes: 1 (Nankai Tracts in Mathematics)

Edición Destacada

ISBN 10:  9810245084 ISBN 13:  9789810245085
Editorial: World Scientific Publishing Co P..., 2001
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