The Projective Space

Karl Menger

A chapter in Selecta Mathematica, 2002, pp 475-488 from Springer

Abstract: Abstract The most striking feature of projective geometry is the principle of duality: If in a proposition about the projective space (the projective plane) we interchange points and planes (points and lines) we obtain a valid proposition. It thus seems natural to ask for a self-dual foundation of the theories in the sense that for every postulate the above interchange leads to another postulate, if not to the same proposition.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-6110-4_35

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DOI: 10.1007/978-3-7091-6110-4_35

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