References
W.Benz, Vorlesungen über Geometrie der Algebren. Berlin-Heidelberg-New York 1973.
C. Caratheodory, The most general transformations of plane regions which transform circles into circles. Bull. Amer. Math. Soc.43, 573–579 (1937).
J. Gibbons andC. Webb, Circle-preserving functions of spheres. Trans. Amer. Math. Soc.248, 67–83 (1979).
R.Löwen, Projectivities and the geometric structure of topological planes. In: P. Plaumann and K. Strambach, Geometry-von Staudt's point of view, 339–372, Dordrecht-Boston-London 1931.
R. Löwen, A local “Fundamental Theorem” for classical topological protective spaces. Arch. Math.38, 286–288 (1982).
C. E.Torrechante, Lokal miquelsche sphärische Möbiusebenen. Dissertation, Tübingen 1980.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Steinke, G. An extension property for classical topological Benz planes. Arch. Math 41, 190–192 (1983). https://doi.org/10.1007/BF01196877
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01196877