Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bootstrapping in convergence groups   We prove a true bootstrapping result for convergence groups acting on a Peano
continuum. We give an example of a Kleinian group H which is the amalgamation
of two closed hyperbolic surface groups along a simple closed curve. The limit
set Lambda H is the closure of a `tree of circles' (adjacent circles meeting in
pairs of points). We alter the action of H on its limit set such that H no
longer acts as a convergence group, but the stabilizers of the circles remain
unchanged, as does the action of a circle stabilizer on said circle. This is
done by first separating the circles and then gluing them together backwards.

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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin