Grothendieck topologies and applications

محورهای موضوعی : Category theory, homological algebra

K. Azi ¹ , H. Hamraoui ² , N. Haddar ³

1 - TAG Laboratory, Faculty of sciences, A\"{\i}n Chock Hassan II University, B.P 5366 Maarif, Casablanca, Morocco
2 - TAG Laboratory, Faculty of sciences, A\"{\i}n Chock Hassan II University, B.P 5366 Maarif, Casablanca, Morocco
3 - TAG Laboratory, Faculty of sciences, A\"{\i}n Chock Hassan II University, B.P 5366 Maarif, Casablanca, Morocco

تاریخ دریافت : 1402/02/31 تاریخ پذیرش : 1402/04/08 تاریخ انتشار : 1402/03/11

کلید واژه: Presheaves, sheaves, Grothendieck topology, topos, Zariski topology, Etale topology, Nisnevich topology,

چکیده مقاله :

Following [6], we define Grothendieck topologies on a small category and describe sheaves for these Grothendieck topologies. This generalizes, in a natural way, the theory of sheaves on a topological space

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