Hyperbolic Manifolds and Discrete Groups / (Record no. 20029)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02958cam a2200265 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000001767 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102224545.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 081109s2000 mau |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0817639047 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3764339047 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201402040056 |
| Level of effort used to assign nonsubject heading access points | VLOAD |
| Level of effort used to assign subject headings | 201008020902 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200811101318 |
| Level of effort used to assign classification | venkatrajand |
| Level of effort used to assign subject headings | 200811091343 |
| Level of effort used to assign classification | Noora |
| -- | 200811091342 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA685 |
| Item number | .K36 2000 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kapovich, Michael, |
| Dates associated with a name | 1963- |
| 9 (RLIN) | 43674 |
| 245 10 - TITLE STATEMENT | |
| Title | Hyperbolic Manifolds and Discrete Groups / |
| Statement of responsibility, etc. | Michael Kapovich. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Boston : |
| Name of publisher, distributor, etc. | Birkhauser, |
| Date of publication, distribution, etc. | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xxv, 467 p. ; |
| Dimensions | 24 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Progress in mathematics ; |
| Volume/sequential designation | v. 183 |
| 9 (RLIN) | 24858 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (pp433-460) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | UPDATED, 6/29/2000 [see attached for complete TOC] Introduction * 1. Three-dimensional Topology * 2. Thurston Norm * 3. Geometry of the Hyperbolic Space * 4. Kleinian Groups * 5. Teichm\:uller Theory of Riemann Surfaces * 6. Introduction to the Orbifold Theory * 7. Complex Projective Structures * 8. Sociology of Kleinian Groups * 9. Ultralimits of Metric Spaces * 10. Introduction to Group Actions on Trees * 11. Laminations, Foliations and Trees * 12. Rips' Theory * 13. Brooks' Theorem and Circle Packings * 14. Pleated Surfaces and Ends of Hyperbolic Manifolds * 15. Outline of the Proof of the Hyperbolization Theorem * 16. Reduction to The Bounded Image Theorem * 17. The Bounded Image Theorem * 18. Hyperbolization of Fibrations * 19. The Orbifold Trick * 20. Beyond the Hyperbolization Theorem * Bibliography * Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout is on the 'Big Monster', i.e., on Thurston's hyperbolization theorem, which has not only completely changed the landscape of 3-dimensional topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book presents the first complete proof of Thurston's hyperbolization theorem in the 'generic case' and an outline of Otal's proof of the hyperbolization theorem for manifolds fibered over the circle. This important work contains an extended treatment of the theory of Kleinian groups and group actions on trees, including such key topics as: the Kazhdan-Margulis-Zassenhaus theorem; the Klein and Maskit combination theorems; the Mostow rigidity theorem; the Douady-Earle extension theorem for homeomorphisms of the circle; the smoothness theorem for representation varieties of Kleinian groups; the Ahlfors finiteness theorem; the Brooks deformation theorem; characterization of pseudo-Anosov homeomorphisms; and, compactification of character varieties via group actions on trees. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hyperbolic spaces. |
| 9 (RLIN) | 43667 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Discrete groups. |
| 9 (RLIN) | 10182 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA685 .K36 2000 | 9652 | 21/12/2024 | 1 | 21/12/2024 | Books |