Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebraic classification of some solvable groups of homeomorphisms   We produce two separate algebraic descriptions of the isomorphism classes of
the solvable subgroups of the group PLo(I) of piecewise-linear
orientation-preserving homeomorphisms of the unit interval under the operation
of composition, and also of the solvable subgroups of the generalized R.
Thompson groups F_n. The first description is as a set of isomorphism classes
of groups which is closed under three algebraic operations, and the second is
as the set of isomorphism classes of subgroups of a countable collection of
easily described groups. We show the two descriptions are equivalent.

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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin