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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|