| Description |
1 online resource (xi, 1420 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file rdaft http://rdaregistry.info/termList/fileType/1002. |
| Summary |
This Handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively. More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids. |
| Bibliography |
Includes bibliographical references and indexes. |
| Note |
Print version record. |
| Access |
Use copy Restrictions unspecified star MiAaHDL |
| Reproduction |
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL |
| System Details |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
| Processing Action |
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Contents |
1. An introduction to incidence geometry / F. Buekenhout -- 2. Projective and affine geometry over division rings / F. Buekenhout and P. Cameron -- 3. Foundations of incidence geometry / F. Buekenhout -- 4. Projective planes / A. Beutelspacher -- 5. Translation planes / M. Kallaher -- 6. Dimensional linear spaces / A. Delandtsheer -- 7. Projective geometry over a finite field / J. A. Thas -- 8. Block designs / A. E. Brouwer and H. A. Wilbrink -- 9. Generalized polygons / J. A. Thas -- 10. Some classes of rank 2 geometries / F. De Clerck and H. Van Maldeghem -- 11. Buildings / R. Scharlau -- 12. Point-line spaces related to buildings / A. M. Cohen -- 13. Free constructions / M. Funk and K. Strambach -- 14. Chain geometries / A. Herzer -- 15. Discrete non-Euclidean geometry / J. J. Seidel -- 16. Distance preserving transformations / J. A. Lester -- 17. Metric geometry / E. M. Schroder -- 18. Pointless geometries / G. Gerla -- 19. Geometry over rings / F. D. Veldkamp. |
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20. Applications of buildings / J. Rohlfs and T. A. Springer -- 21. Projective geometry on modular lattices / U. Brehm, M. Greferath and S. E. Schmidt -- 22. Finite diagram geometries extending buildings / F. Buekenhout and A. Pasini -- 23. Linear topological geometries / T. Grundhofer and R. Lowen -- 24. Topological circle geometries / G. F. Steinke. |
| Subject |
Geometry, Projective.
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Géométrie projective.
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Geometry, Projective
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Inzidenzgeometrie
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Projektive Geometrie
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Géométrie projective.
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| Indexed Term |
Geometry |
| Added Author |
Buekenhout, Francis.
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| Other Form: |
Print version: Handbook of incidence geometry. Amsterdam ; New York : Elsevier, 1995 044488355X 9780444883551 (DLC) 94020334 (OCoLC)30511354 |
| ISBN |
9780444883551 |
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044488355X |
| Standard No. |
(WaSeSS)ssj0000360919 |
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AU@ 000048130377 |
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CHNEW 001006730 |
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DEBBG BV036962375 |
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DEBBG BV039830243 |
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DEBSZ 275208060 |
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NZ1 12433690 |
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NZ1 15192913 |
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