Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating Product Systems   Generalizing Krieger's finite generation theorem, we give conditions for an
ergodic system to be generated by a pair of partitions, each required to be
measurable with respect to a given sub-algebra, and also required to have a
fixed size.

12
The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: nlin
18
The categories of this paper are: econ