Grothendieck topologies and applications

الموضوعات :

K. Azi ¹ (TAG Laboratory, Faculty of sciences, A\"{\i}n Chock Hassan II University, B.P 5366 Maarif, Casablanca, Morocco)
H. Hamraoui ² (TAG Laboratory, Faculty of sciences, A\"{\i}n Chock Hassan II University, B.P 5366 Maarif, Casablanca, Morocco)
N. Haddar ³ (TAG Laboratory, Faculty of sciences, A\"{\i}n Chock Hassan II University, B.P 5366 Maarif, Casablanca, Morocco)

تاريخ الإرسال : 01 الأحد , ذو القعدة, 1444 تاريخ التأكيد : 11 الخميس , ذو الحجة, 1444 تاريخ الإصدار : 12 الخميس , ذو القعدة, 1444

الکلمات المفتاحية: Presheaves, sheaves, Grothendieck topology, topos, Zariski topology, Etale topology, Nisnevich topology,

ملخص المقالة :

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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