Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grothendieck topologies from unique factorisation systems   This work presents a way to associate a Grothendieck site structure to a
category endowed with a unique factorisation system of its arrows. In
particular this recovers the Zariski and Etale topologies and others related to
Voevodsky's cd-structures. As unique factorisation systems are also frequent
outside algebraic geometry, a construction applies to some new contexts, where
it is related with known structures defined otherwise. The paper details
algebraic geometrical situations and sketches only the other contexts.

14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex