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Visibility metrics on the infinity boundary of the complex hyperbolic plane

✍ Scribed by A. M. Kuznetsov


Publisher
Springer US
Year
2009
Tongue
English
Weight
274 KB
Volume
161
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES


The complexity of plane hyperbolic incid
✍ Victor Pambuccian πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

We show that plane hyperbolic geometry, expressed in terms of points and the ternary relation of collinearity alone, cannot be expressed by means of axioms of complexity at most βˆ€βˆƒβˆ€, but that there is an axiom system, all of whose axioms are βˆ€βˆƒβˆ€βˆƒ sentences. This remains true for Klingenberg's genera