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Coordinate system and combinatorial objects (an example of a generalized quadrangle)

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Ukrainian Mathematical Journal Aims and scope

Abstract

By using a generalized quadrangle as an example, we verify the assumption that coordinate systems (different from the standard Cartesian coordinate system) exist not only in an arbitrary projective plane, where they are determined by a nondegenerate quadrangle, but also in some other combinatorial objects.

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References

  1. P. Dembovski,Finite Geometries, Springer, Berlin (1968).

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  2. V. K. Medvedev, “On an analog of a ternar for generalized polygons,”Ukr. Mat. Zh.,41, No. 9, 1239–1244 (1989).

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Authors and Affiliations

  1. Kiev University, Kiev

    V. K. Medvedev

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  1. V. K. Medvedev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 516–523, May, 1994.

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Medvedev, V.K. Coordinate system and combinatorial objects (an example of a generalized quadrangle). Ukr Math J 46, 550–557 (1994). https://doi.org/10.1007/BF01058518

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  • DOI: https://doi.org/10.1007/BF01058518

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