Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculating limits and colimits in pro-categories   We present some constructions of limits and colimits in pro-categories. These
are critical tools in several applications. In particular, certain technical
arguments concerning strict pro-maps are essential for a theorem about \'etale
homotopy types. Also, we show that cofiltered limits in pro-categories commute
with finite colimits.

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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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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: adap-org
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The categories of this paper are: q-alg