02668nam 2200529 450 991081728050332120230414230805.00-8218-9977-5(CKB)3360000000463993(EBL)3113673(SSID)ssj0000973916(PQKBManifestationID)11553859(PQKBTitleCode)TC0000973916(PQKBWorkID)10988938(PQKB)10047505(MiAaPQ)EBC3113673(RPAM)0000000666(PPN)195409175(EXLCZ)99336000000046399320750505d1959 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierSpaces with non-symmetric distance /Eugene M. ZaustinskyProvidence :American Mathematical Society,1959.1 online resource (91 pages) illustrationsMemoirs of the American Mathematical Society ;number 34Cover title.0-8218-1234-3 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;34.Generalized spacesDistance geometryGeneralized spaces.Distance geometry.Zaustinskiy Eugene1690656MiAaPQMiAaPQMiAaPQBOOK9910817280503321Spaces with non-symmetric distance4066482UNINA