Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on deriving unbounded functors of exact categories, with
  applications to Ind- and Pro- functors   In this short note we show that under very mild conditions on a functor
between exact categories $F:\mathcal{D}\rightarrow\mathcal{E}$ it is possible
to derive $F$ at the level of unbounded complexes. We also give applications to
deriving functors between $Pro$- and $Ind$- categories.

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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
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The categories of this paper are: q-bio