Literatur
D. Betten, 4-dimensionale Translationsebenen, Math. Z. 128 (1972), 129–151.
J. Dugundji, Topology, Allyn and Bacon Boston, 1966.
J. Dugundji, Topology, Allyn and Bacon Boston, 1966.
E. Eisele, Topological ternary fields not belonging to a topological projective plane, Abh. Math. Sem. Univ. Hamburg 60 (1990), 257–264.
E. Eisele, Cartesian groups not belonging to topological projective planes, J. Geom. 40 (1991), 35–46.
E. Eisele, Topologische Divisionsalgebren ohne zugehörige topologische affine Ebenen, Abh. Math. Sem. Hamburg, to appear.
G. Grimeisen, Continuous incidence relations of topological projective planes, Acta Math. Hung. 41(3–4) (1983), 241–250.
Th. GrundhÖfer, Ternary fields of compact projective planes, Abh. Math. Sem. Hamburg 57 (1986), 87–101.
P. Hartmann, Topologien von Moultonebenen, Geom. Dedicata 31 (1989), 321–332.
D.R. Hughes, F.C. PIPER, Projective planes, Springer NewYork, 1973.
H.-J. Kowalsky, Beiträge zur topologischen Algebra, Math. Nach. 11 (1954), 143–185.
S. Lang, Algebra, Wesley NewYork, 1965.
G. Pickert, Projektive Ebenen, 1. Auflage, Springer Berlin, 1955.
L.S. Pontrjagin, Topologische Gruppen, Teil 1, Teubner Leipzig, 1957.
R. Rink, Eine Klasse topologischer Fastkörperebenen, Geom. Dedicata 19 (1985), 311–351.
H. Salzmann, Topologische projektive Ebenen, Math. Z. 67 (1957), 436–466.
H. Salzmann, Topological planes, Advances in Math. 2 (1968), 1–60.
L.A. Skornjakov, Topological projective planes, Trudy Moskov Mat. Obšč. 3 (1954), 347–373 [Russisch].
B.L. Van Der Waerden, Algebra I, 5. Auflage, Springer Berlin, 1960.
O. Wyler, Order and topology in projective planes, Amer. J. Math. 74 (1952), 656–666.
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Eisele, E. A Class of Topological Affine Translation Planes Having no Topological Projective Extension. Results. Math. 23, 294–302 (1993). https://doi.org/10.1007/BF03322302
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DOI: https://doi.org/10.1007/BF03322302