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Algebraical and topological foundations of geometry : proceedings of a colloquium held in Utrecht, August 1959

Author: Hans Freudenthal; International Mathematical Union.
Publisher: Oxford ; New York : Symposium Publications Division, Pergamon Press, 1962.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Database:WorldCat
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Algebraical and Topological Foundations of Geometry.
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Genre/Form: Electronic books
Conference papers and proceedings
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Additional Physical Format: Print version:
Colloquium on Algebraic and Topological Foundations of Geometry (1959 : Utrecht, Netherlands).
Algebraical and topological foundations of geometry.
Oxford, New York, Symposium Publications Division, Pergamon Press, 1962
(DLC) 61018665
(OCoLC)542639
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hans Freudenthal; International Mathematical Union.
ISBN: 9781483184647 1483184641
OCLC Number: 898771831
Notes: 2. projektive räume.
Description: 1 online resource (217 pages)
Contents: CHAPTER 16. VERALLGEMEINERTE METRISCHE EBENEN UND ORTHOGONALE GRUPPENLITERATUR; CHAPTER 17. ANNEAUX TERNAIRES ET CORPS GÉNÉRALISES LIES AUX GÉOMÉTRIES NON-ARGUÉSIENNESt; I. DEMIGROUPES TERNAIRES (DEMI-AMAS); II. TREILLIS TERNAIRES; III. CORPS TERNAIRES ET "CORPS GÉNÉRALISÉS"; BIBLIOGRAPHIE; CHAPTER 18. DIFFERENTIAL GEOMETRY AND ANALYTIC GROUP THEORY METHODS IN FOUNDATIONS OF GEOMETRY; 1. THE MAIN THEOBEMS; 2. PRELIMINARIES; 3. AN OUTLINE OF THE PROOF OF THEOREM; 4. THE HOMOGENEOUS CASE; BIBLIOGRAPHY; CHAPTER 19. EINFACHE LIE-GRUPPEN UND NICHTEUKLIDISCHE GEOMETRIEN; 1. ALGEBREN. 5. results on problem (ii)6. a result on problem (iii); bibliography; chapter 5. schwach projektive räume über dreifachen ternärkörpern; literatur; chapter 6. symplektische und metasymplektischegeometrien; chapter 7. bericht über die theorie der rosenfeldschen elliptischen ebenen; chapter 8. on groups of homeomorphisms; (1) the main theorem; 2. a counter-example; references; chapter 9. topological descriptive planes; chapter 10. complemented modular lattices; a. coordinatization theory; b. independence, finiteness and continuity; references. Chapter 11. über die topologische und algebraische struktur topologischer doppelloops und einiger topologischer projektiver ebenen1. die topologische struktur topologischer doppelloops; 2. die algebraische struktur topologischer doppelloops; 3. die topologisohe struktur gewisser topologischer projektiver ebenen; literatur; chapter 12. some results on collineation groups; bibliography; chapter 13. anordnungsfragen in ternären ringen und allgemeinen projektiven und affinen ebenen; 1. beschreibung der anordnung durch ordnungsfunktionen; 2. anordnungen des ternären ringes. 3. eigenschaften der starken halbordnung4. spezielle und volle anordnungen; literatur; chapter 14. construction geometries and construction fields; 1. introduction; 2. construction operations and construction fields; 3. rational operations; 4. quadratic constructions; 5. the mohr-mascheroni theorem; references; chapter 15. projektive geometrie und lineare algebra über verallgemeinerten bewertungsringen; 1. projektive räume über lokalen ringen; 2. die struktur der linearen gruppe über verallgemeinerten bewertungsringen; literatur.
Responsibility: sponsored by the International Mathematical Union ; organized on behalf of the Netherlands Mathematical Society, by Hans Freudenthal.

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Algebraical and Topological Foundations of Geometry.

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