Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces   In the present paper we investigate the Gromov--Hausdorff distances between a
bounded metric space $X$ and so called simplex, i.e., a metric space all whose
non-zero distances are the same. In the case when the simplex's cardinality
does not exceed the cardinality of $X$, a new formula for this distance is
obtained. The latter permits to derive an exact formula for the distance
between a simplex and an ultrametric space.

21
The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg