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Noncomputability of classes of pappian and desarguesian projective planes

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Abstract

We study computable representations of projective planes and prove that the class of all pappian projective planes and the class of all desarguesian projective planes have no computable numberings (up to computable isomorphism).

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References

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Authors and Affiliations

  1. Sobolev Institute of Mathematics Novosibirsk State University, Novosibirsk, Russia

    N. T. Kogabaev

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  1. N. T. Kogabaev
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Correspondence to N. T. Kogabaev.

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Original Russian Text Copyright © 2013 Kogabaev N.T.

The author was supported by the Russian Foundation for Basic Research (Grant 11-01-00236) and the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-276.2012.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, ^No. 2, pp. 325–335, March–April, 2013.

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Kogabaev, N.T. Noncomputability of classes of pappian and desarguesian projective planes. Sib Math J 54, 247–255 (2013). https://doi.org/10.1134/S0037446613020092

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  • DOI: https://doi.org/10.1134/S0037446613020092

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