Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a universal Borel adic space   We prove that the so-called uniadic graph and its adic automorphism are Borel
universal, i.e., every aperiodic Borel automorphism is isomorphic to the
restriction of this automorphism to a subset invariant under the adic
transformation, the isomorphism being defined on a universal (with respect to
the measure) set. We develop the concept of basic filtrations and combinatorial
definiteness of automorphisms suggested in our previous paper.

3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
16
The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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: quant-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th