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Record Nr. |
UNINA9910817280503321 |
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Autore |
Zaustinskiy Eugene |
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Titolo |
Spaces with non-symmetric distance / / Eugene M. Zaustinsky |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 1959 |
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ISBN |
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Descrizione fisica |
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1 online resource (91 pages) : illustrations |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 34 |
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Soggetti |
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Generalized spaces |
Distance geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Introduction""; ""PART I. THE BASIC CONCEPTS""; ""1. General Metric Spaces""; ""2. Compact and Finitely Compact General Metric Spaces""; ""3. Curves and their Lengths. Segments""; ""4. Extremals""; ""5. Example. The Minkowski Geometry""; ""6. Example. The Quasihyperbolic Geometry""; ""7. Local Homogeneity of E-spaces. The one-dimensional E-spaces""; ""PART II. PERPENDICULARS AND PARALLELS""; ""8. Convexity of Spheres and Perpendicularity""; ""9. Limitspheres and Corays""; ""10. Asymptotes and Parallels""; ""PART III. MOTIONS IN E-SPACES""; ""11. Axial Motions in E-spaces"" |
""12. Translations in Straight E-surfaces""""13. Motions in Compact E-spaces""; ""PART IV. E-SPACES WITH TRANSITIVE GROUPS OF MOTIONS""; ""14. E-spaces with Pairwise Transitive Groups of Motions""; ""15. The Determination of all E-surfaces with Transitive Groups of Motions""; ""PART V. E-SPACES WITH NON-POSITIVE CURVATURE""; ""16. Introduction""; ""17. Straightness of the Universal Covering Space""; ""Appendix I. The Funk Geometry""; ""Appendix II. A Quasihyperbolic Plane""; ""References"" |
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