Handbook of incidence geometry : buildings and foundations /
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...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam ; New York :
Elsevier,
1995.
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| Subjects: | |
| Online Access: | CONNECT |
MARC
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| 245 | 0 | 0 | |a Handbook of incidence geometry : |b buildings and foundations / |c edited by F. Buekenhout. |
| 260 | |a Amsterdam ; |a New York : |b Elsevier, |c 1995. | ||
| 300 | |a 1 online resource (xi, 1420 pages) : |b illustrations | ||
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| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
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| 650 | 0 | |a Geometry, Projective. | |
| 700 | 1 | |a Buekenhout, Francis. | |
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