A projective plane is an outstanding 2-cover

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The projective plane is a stabilizer

Article history: Received 24 February 2009 Available online 2 June 2009

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A non-desarguesian projective plane

Hrushovski’s construction of “new” strongly minimal structures and more generally “new” stable structures proved very effective in providing a number of examples to classification problems in stability theory. For example, J.Baldwin used this method to construct a non-desarguesian projective plane of Morley rank 2 (see e.g. [3]). But there is still a classification problem of similar type which...

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The classical theory of plane projective geometry is examined constructively, using both synthetic and analytic methods. The topics include Desargues's Theorem, harmonic conjugates, projectivities, involutions, conics, Pascal's Theorem, poles and polars. The axioms used for the synthetic treatment are constructive versions of the traditional axioms. The analytic construction is used to verify t...

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Hrushovski’s construction of “new” strongly minimal structures and more generally “new” stable structures proved very effective in providing a number of examples to classification problems in stability theory. For example, J.Baldwin used this method to construct a non-desarguesian projective plane of Morley rank 2 (see e.g. [3]). But there is still a classification problem of similar type which...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1989

ISSN: 0012-365X

DOI: 10.1016/0012-365x(89)90143-x