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Existenzbedingungen für Dualitäten projektiver Ebenen
Authors:G Pickert
Institution:1.Mathematisches Institut der Justus-Liebig-Universit?t, Arndtstr. 2, 35392 Gie?en,DE
Abstract:In a projective plane a permutation of the set of all points and lines is constructed, using only the operations join and meet. Under certain conditions (identities in a coordinatizing ternary field; special cases of Desargues- and Pappos-theorem) this permutation is a duality. For a topological projective plane this duality proves, that point space and line space of the plane are homeomorphic.
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