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[null,"1.","Record Nr.",null,"UNINA9910782389903321"]
[null,null,"Autore",null,"Dupont Johan L"]
[null,null,"Titolo",null,"Scissors congruences, group homology and characteristic classes [[electronic resource] /] / Johan L. Dupont"]
[null,null,"Pubbl/distr/stampa",null,"Singapore ; ; River Edge, NJ, : World Scientific, c2001"]
[null,null,"ISBN",null,"1-281-95184-6"]
[{"$nulls":4},"9786611951849"]
[{"$nulls":4},"981-281-033-1"]
[null,null,"Descrizione fisica",null,"1 online resource (178 p.)"]
[null,null,"Collana",null,"Nankai tracts in mathematics ; ; 1"]
[null,null,"Disciplina",null,"516.23"]
[null,null,"Soggetti",null,"Tetrahedra"]
[{"$nulls":4},"Volume (Cubic content)"]
[{"$nulls":4},"Characteristic classes"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 159-165) and index."]
[null,null,"Nota di contenuto",null,"Preface; Contents; Chapter 1. Introduction and History; Chapter 2. Scissors congruence group and homology; Chapter 3. Homology of flag complexes; Chapter 4. Translational scissors congruences; Chapter 5. Euclidean scissors congruences; Chapter 6. Sydler's theorem and non-commutative differential forms; Chapter 7. Spherical scissors congruences; Chapter 8. Hyperbolic scissors congruence; Chapter 9. Homology of Lie groups made discrete; Chapter 10. Invariants; Chapter 11. Simplices in spherical and hyperbolic 3-space; Chapter 12. Rigidity of Cheeger-Chern-Simons invariants"]
[{"$nulls":4},"Chapter 13. Projective configurations and homology of the projective linear groupChapter 14. Homology of indecomposable configurations; Chapter 15. The case of PGl(3,F); Appendix A. Spectral sequences and bicomplexes; Bibliography; Index"]
[null,null,null,"Sommario/riassunto","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 gr"]