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On the universal ultrametric space

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Abstract

An ultrametric space in which any separable ultrametric space can be isometrically imbedded is constructed. We describe the method for isometric imbedding of any separable ultrametric space intol 1,l 2 andc 0 based on the application of this universal space.

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Authors and Affiliations

  1. Dneprodzerzhinsk “AZOT” Production Association, Dneprodzerzhinsk

    I. A. Vestfrid

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  1. I. A. Vestfrid
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 12, pp. 1700–1706, December, 1994.

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Vestfrid, I.A. On the universal ultrametric space. Ukr Math J 46, 1890–1898 (1994). https://doi.org/10.1007/BF01063173

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  • DOI: https://doi.org/10.1007/BF01063173

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