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The Projective Space

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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.

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© 2002 Springer-Verlag Wien

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Menger, K. (2002). The Projective Space. In: Schweizer, B., et al. Selecta Mathematica. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6110-4_35

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  • DOI: https://doi.org/10.1007/978-3-7091-6110-4_35

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7282-7

  • Online ISBN: 978-3-7091-6110-4

  • eBook Packages: Springer Book Archive

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