Scissors congruences, group homology and characteristic classes:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore
World Scientific
©2001
|
| Schriftenreihe: | Nankai tracts in mathematics
v. 1 |
| Schlagwörter: | |
| Links: | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235878 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235878 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235878 |
| Beschreibung: | Includes bibliographical references (pages 159-165) and index 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", ie. 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, characteristics 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 |
| Umfang: | 1 Online-Ressource (viii, 168 pages) |
| ISBN: | 1281951846 9781281951847 9789810245078 9789812810335 9810245076 9812810331 |
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Datensatz im Suchindex
| _version_ | 1818981341474062336 |
|---|---|
| any_adam_object | |
| author | Dupont, Johan L. |
| author_facet | Dupont, Johan L. |
| author_role | aut |
| author_sort | Dupont, Johan L. |
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| dewey-full | 516/.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.15 |
| dewey-search | 516/.15 |
| dewey-sort | 3516 215 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043152687 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:29:47Z |
| institution | BVB |
| isbn | 1281951846 9781281951847 9789810245078 9789812810335 9810245076 9812810331 |
| language | English |
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| spelling | Dupont, Johan L. Verfasser aut Scissors congruences, group homology and characteristic classes Johan L. Dupont Singapore World Scientific ©2001 1 Online-Ressource (viii, 168 pages) txt rdacontent c rdamedia cr rdacarrier Nankai tracts in mathematics v. 1 Includes bibliographical references (pages 159-165) and index 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", ie. 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, characteristics 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 MATHEMATICS / Measurement bisacsh Characteristic classes fast Tetrahedra fast Volume (Cubic content) fast Tetrahedra Volume (Cubic content) Characteristic classes Homologische Algebra (DE-588)4160598-6 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 gnd rswk-swf Hilbertsches Problem 3 (DE-588)4159863-5 gnd rswk-swf Hilbertsches Problem 3 (DE-588)4159863-5 s Algebraische K-Theorie (DE-588)4141839-6 s 1\p DE-604 Homologische Algebra (DE-588)4160598-6 s 2\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 981-02-4508-4 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235878 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dupont, Johan L. Scissors congruences, group homology and characteristic classes MATHEMATICS / Measurement bisacsh Characteristic classes fast Tetrahedra fast Volume (Cubic content) fast Tetrahedra Volume (Cubic content) Characteristic classes Homologische Algebra (DE-588)4160598-6 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd Hilbertsches Problem 3 (DE-588)4159863-5 gnd |
| subject_GND | (DE-588)4160598-6 (DE-588)4141839-6 (DE-588)4159863-5 |
| title | Scissors congruences, group homology and characteristic classes |
| title_auth | Scissors congruences, group homology and characteristic classes |
| title_exact_search | Scissors congruences, group homology and characteristic classes |
| title_full | Scissors congruences, group homology and characteristic classes Johan L. Dupont |
| title_fullStr | Scissors congruences, group homology and characteristic classes Johan L. Dupont |
| title_full_unstemmed | Scissors congruences, group homology and characteristic classes Johan L. Dupont |
| title_short | Scissors congruences, group homology and characteristic classes |
| title_sort | scissors congruences group homology and characteristic classes |
| topic | MATHEMATICS / Measurement bisacsh Characteristic classes fast Tetrahedra fast Volume (Cubic content) fast Tetrahedra Volume (Cubic content) Characteristic classes Homologische Algebra (DE-588)4160598-6 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd Hilbertsches Problem 3 (DE-588)4159863-5 gnd |
| topic_facet | MATHEMATICS / Measurement Characteristic classes Tetrahedra Volume (Cubic content) Homologische Algebra Algebraische K-Theorie Hilbertsches Problem 3 |
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