On the universal ultrametric space

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 intol₁,l₂ andc₀ based on the application of this universal space.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 12, pp. 1700–1706, December, 1994.