Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A tractable case of the Turing automorphism problem: bi-uniformly
  $E_0$-invariant Cantor homeomorphisms   A function $F:2^\omega\to 2^\omega$ is an $E_0$-isomorphism if for all
$x,y\in 2^\omega$, we have $xE_0y\iff f(x)E_0 f(y)$, where $xE_0y\iff(\exists
a)(\forall n\ge b) x(n)=y(n)$. If such witnesses $a$ for $xE_0 y$ and for
$f(x)E_0 f(y)$ depend on each other but not on $x$, $y$, then $F$ is called
bi-uniform. It is shown that a homeomorphism of Cantor space which is a
bi-uniform $E_0$-isomorphism can induce only the trivial automorphism of the
Turing degrees.

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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc