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The Projective Space

In: Selecta Mathematica

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  • Karl Menger

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.

Suggested Citation

  • Karl Menger, 2002. "The Projective Space," Springer Books, in: Bert Schweizer & Abe Sklar & Karl Sigmund & Peter Gruber & Edmund Hlawka & Ludwig Reich & Leopold Sc (ed.), Selecta Mathematica, pages 475-488, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-6110-4_35
    DOI: 10.1007/978-3-7091-6110-4_35
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