Properties of ordered spaces with hyperbolic incidence structure. (Eigenschaften angeordneter Räume mit hyperbolischer Inzidenzstruktur. I.) (German) Zbl 0873.51008
This paper exhibits properties of ordered spaces admitting a hyperbolic incidence structure, aiming at a projective embedding theorem for these spaces.
For a comprehensive treatment of ordered hyperbolic incidence structures see also the Ph.D. thesis of A. Konrad, “Nichteuklidische Geometrie und \(K\)-Loops” [Diss. TU München, 86 S. (1995; Zbl 0861.51012)].
For a comprehensive treatment of ordered hyperbolic incidence structures see also the Ph.D. thesis of A. Konrad, “Nichteuklidische Geometrie und \(K\)-Loops” [Diss. TU München, 86 S. (1995; Zbl 0861.51012)].
Reviewer: F.B.Kalhoff (Dortmund)
MSC:
| 51G05 | Ordered geometries (ordered incidence structures, etc.) |
| 51M10 | Hyperbolic and elliptic geometries (general) and generalizations |
| 51F10 | Absolute spaces in metric geometry |
