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Partition of a metric space into continuous components

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Cybernetics and Systems Analysis Aims and scope

Abstract

The fact that each discrete metric space is uniquely decomposed into continuous components is elegantly proved.

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References

  1. V. Ya. Burdyuk and I. V. Burdyuk,“Discrete and continuous metric spaces,” Kibern. Sist. Anal., No. 6, 172–174 (1992).

  2. V. Ya. Burdyuk, Distances [in Ukrainian], Vyd. DDU, Dnipropetrovs’k (1993).

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Authors and Affiliations

  1. State University, Dnepropetrovsk, Ukraine

    V. Ya. Burdyuk & S. O. Sergeev

Authors
  1. V. Ya. Burdyuk
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  2. S. O. Sergeev
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Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 185–186, September–October, 1999.

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Burdyuk, V.Y., Sergeev, S.O. Partition of a metric space into continuous components. Cybern Syst Anal 35, 844–845 (1999). https://doi.org/10.1007/BF02733421

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  • DOI: https://doi.org/10.1007/BF02733421

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