Spaces with non-symmetric distance / Eugene M. Zaustinsky.

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Bibliographic Details
Main Author: Zaustinsky, Eugene Michael
Format: eBook
Published: Providence, R.I. : American Mathematical Society, 1959
Series:Memoirs of the American Mathematical Society ; no. 34.
Online Access:Click for online access
Table of Contents:
  • 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 of 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.