Geometry and topology of coxeter groups (Record no. 1431591)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02203cam a2200277 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 14674784 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250611102844.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 061218s2008 njua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780691131382 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CSL |
| Transcribing agency | CSL |
| 041 ## - LANGUAGE CODE | |
| Source of code | eng |
| Language code of text/sound track or separate title | eng |
| 084 ## - COLON CLASSIFICATION NUMBER | |
| Classification number | B27 P8 NBHM |
| Assigning agency | CSL |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Davis, Michael, |
| Relator term | author. |
| 9 (RLIN) | 509726 |
| 245 14 - TITLE STATEMENT | |
| Title | Geometry and topology of coxeter groups |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Princeton : |
| Name of publisher, distributor, etc. | Princeton University Press, |
| Date of publication, distribution, etc. | c2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 584 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 490 1# - SERIES STATEMENT | |
| Series statement | London Mathematical Society monographs |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. [555]-572) and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Coxeter groups. |
| 9 (RLIN) | 812543 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Torsor (algebraic geometry). |
| 9 (RLIN) | 812544 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometric group theory. |
| 9 (RLIN) | 812545 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Polytope. |
| 9 (RLIN) | 812546 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | London Mathematical Society monographs. |
| 9 (RLIN) | 812547 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Colon Classification (CC) |
| Suppress in OPAC | No |
| Koha item type | Textual |
| Classification part | B27 P8 NBHM |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Colon Classification (CC) | Central Science Library | Faculty of Mathematical Sciences Library | 2025-01-13 | New India Book Agency | B27 P8 NBHM | SL1656225 | 2025-06-11 | 2025-06-11 | Textual |