Isometric Embeddings of Finite Metric Spaces / *A. I. Oblakova.* // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 1. P. 3-9
[Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 1-6].

It is proved that there exists a metric on a Cantor set such that any
finite metric space whose diameter does not exceed 1 and the number of points
does not exceed *n* can be isometrically embedded into it.
It is also proved that for any *n* points, and have the diameter at most 1.
The latter result is proved for a wide class of metrics on

*Key words*:
metric, isometric embedding, Cantor set.