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100   $a20010703d2001      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aScissors congruences, group homology and characteristic classes$b[electronic resource] /$fJohan L. Dupont
210   $aSingapore ;$aRiver Edge, NJ $cWorld Scientific$dc2001
215   $a1 online resource (178 p.)
225 1 $aNankai tracts in mathematics ;$v1
300   $aDescription based upon print version of record.
311   $a981-02-4507-6 
320   $aIncludes bibliographical references (p. 159-165) and index.
327   $aPreface; 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
327   $aChapter 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
330   $aThese lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998. They provide an overview of the work of the author and the late Chih-Han Sah on various aspects of Hilbert's Third Problem: Are two Euclidean polyhedra with the same volume "scissors-congruent", i.e. can they be subdivided into finitely many pairwise congruent pieces? The book starts from the classical solution of this problem by M Dehn. But generalization to higher dimensions and other geometries quickly leads to a great variety of mathematical topics, such as homology of gr
410  0$aNankai tracts in mathematics ;$vv. 1.
606   $aTetrahedra
606   $aVolume (Cubic content)
606   $aCharacteristic classes
608   $aElectronic books.
615  0$aTetrahedra.
615  0$aVolume (Cubic content)
615  0$aCharacteristic classes.
676   $a516.23
700   $aDupont$b Johan L$055031
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910454401303321
996   $aScissors congruences, group homology and characteristic classes$92255458
997   $aUNINA