Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalences between localisations of categories provided by
  replacements   We give a characterisation of functors whose induced functor on the level of
localisations is an equivalence and where the isomorphism inverse is induced by
some kind of replacements such as projective resolutions or cofibrant
replacements.

12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin