Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localisation and colocalisation of triangulated categories at thick
  subcategories   Given a thick subcategory of a triangulated category, we define a
colocalisation and a natural long exact sequence that involves the original
category and its localisation and colocalisation at the subcategory. Similarly,
we construct a natural long exact sequence containing the canonical map between
a homological functor and its total derived functor with respect to a thick
subcategory.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex