Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aperiodic homeomorphisms approximate chain mixing endomorphisms on the
  Cantor set   Let $f$ be a chain mixing continuous onto mapping from the Cantor set onto
itself.Let $g$ be an aperiodic homeomorphism on the Cantor set. We show that
homeomorphisms that are topologically conjugate to g approximate $f$ in the
topology of uniform convergence if a trivial necessary condition on periodic
points is satisfied.In particular, let $f$ be a chain mixing continuous onto
mapping from the Cantor set onto itself with a fixed point and g, an aperiodic
homeomorphism on the Cantor set. Then, homeomorphisms that are topologically
conjugate to $g$ approximate $f$.

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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom