Use this identifier to quote or link this document: http://hdl.handle.net/2072/17908

Grothendieck topologies from unique factorisation systems
Anel, Mathieu
Centre de Recerca Matemàtica
This article 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, the same construction applies to some new contexts, where it is related with known structures dened otherwise. The paper details algebraic geometrical situations and sketches only the other contexts.
2009-02
512 - Àlgebra
Geometria algèbrica
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