This is a preview of subscription content, log in via an institution to check access.
References
D.Betten, Topologische Geometrien auf 3-Mannigfaltigkeiten. To appear in Simon Stevin.
H.Busemann and P. J.Kelley, Projective geometry and projective metrics. New York 1953.
C. Caratheodory, The most general transformations of plane regions which transform circles into circles. Bull. Amer. Math. Soc.43, 373–379 (1937).
J.Dtrgtrstdjt, Topology. Boston 1970.
J. Gibbons andC. Webb, Circle-preserving functions of spheres. Trans. Amer. Math. Soc.248, 67–83 (1979).
M.Hausner and J. T.Schwartz, Lie groups; Lie algebras. New York 1968.
G.Hochschild, The structure of Lie groups. San Francisco 1965.
F. Klein, Über die sogenannte Nicht-Euklidische Geometrie. Math. Ann.6, 112–145 (1873).
R. Löwen, Vierdimensionale stabile Ebenen. Geom. Dedic.5, 239–294 (1976).
R. Löwen, Symmetric planes. Pacific J. Math.84, No. 2, 367–390 (1979).
R. Moufang, Die Einführung der idealen Elemente in die Geometrie mit Hilfe des Satzes vom vollständigen Vierseit. Math. Ann.105, 759–778 (1931).
H.Pasch, Vorlesungen über neuere Geometrie. Leipzig 1882.
C. Polley, Lokal desarguessche Salzmann-Ebenen. Arch. Math.19, 553–557 (1968).
H. Salzmann, Topological planes. Advances in Math.2, 1–60 (1967).
F. Schur, Über die Einführung der sogenannten idealen Elemente in die projective Geometrie. Math. Ann.39, 113–124 (1891).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Löwen, R. A local “Fundamental Theorem” for classical topological projective spaces. Arch. Math 38, 286–288 (1982). https://doi.org/10.1007/BF01304789
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01304789