Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wadge Degrees of Classes of omega-Regular k-Partitions   We develop a theory of k-partitions of the set of infinite words recognizable
by classes of finite automata. The theory enables to complete proofs of
existing results about topological classifications of the (aperiodic)
omega-regular k-partitions and provides tools for dealing with other similar
questions. In particular, we characterize the structure of Wadge degrees of
(aperiodic) omega-regular $k$-partitions, prove the decidability of many
related problems, and discuss their complexity.

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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: econ