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Scissors Congruences, Group Homology and Characteristic by Johan L. Dupont PDF

By Johan L. Dupont

ISBN-10: 9810245076

ISBN-13: 9789810245078

Those lecture notes are in response to a sequence of lectures given on the Nankai Institute of arithmetic within the fall of 1998. they supply an outline of the paintings of the writer and the overdue Chih-Han Sah on quite a few elements of Hilbert's 3rd challenge: Are Euclidean polyhedra with an identical quantity "scissors-congruent", ie. can they be subdivided into finitely many pairwise congruent items? The ebook starts off from the classical answer of this challenge through M. Dehn. yet generalization to better dimensions and different geometries fast ends up in a superb number of mathematical issues, comparable to homology of teams, algebraic K-theory, features sessions for flat bundles, and invariants for hyperbolic manifolds. the various fabric, relatively within the chapters on projective configurations, is released the following for the 1st time.

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Additional info for Scissors Congruences, Group Homology and Characteristic Classes (Nankai Tracts in Mathematics, V. 1.)

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II. III. IV. F. G. H. J. The first Cro-Magnon exists Neanderthals control fire The first Neanderthal exists Cro-Magnons develop tools III, II, I, IV I, II, III, IV I, III, II, IV IV, III, II, I END OF THE READING TEST STOP! IF YOU HAVE TIME LEFT OVER, CHECK YOUR WORK ON THIS SECTION ONLY. 50 ACT DIAGNOSTIC ASSESSMENT TEST 4 A A A A A A A A A 4 SCIENCE REASONING TEST 35 Minutes – 40 Questions DIRECTIONS: This test includes seven passages, each followed by several questions. Read the passage and choose the best answer to each question.

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Scissors Congruences, Group Homology and Characteristic Classes (Nankai Tracts in Mathematics, V. 1.) by Johan L. Dupont


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