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Existenzbedingungen für Dualitäten projektiver Ebenen

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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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  1. Mathematisches Institut der Justus-Liebig-Universität, Arndtstr. 2, 35392 Gießen, , , , , , DE

    G. Pickert

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  1. G. Pickert
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Eingegangen am 8. 5. 2000

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Pickert, G. Existenzbedingungen für Dualitäten projektiver Ebenen. Arch. Math. 78, 155–161 (2002). https://doi.org/10.1007/s00013-002-8229-x

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  • DOI: https://doi.org/10.1007/s00013-002-8229-x

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