Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factoring onto $\mathbb{Z}^d$ subshifts with the finite extension
  property   We define the finite extension property for $d$-dimensional subshifts, which
generalizes the topological strong spatial mixing condition defined by
Brice\~no (2016), and we prove that this property is invariant under
topological conjugacy. Moreover, we prove that for every $d$, every
$d$-dimensional block gluing subshift factors onto every $d$-dimensional
subshift which has strictly lower entropy, a fixed point, and the finite
extension property. This result extends a theorem from Boyle, Pavlov, and
Schraudner (2010), which requires that the factor contain a safe symbol.

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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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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: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin