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sheaf(Q595298)

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collection of objects associated to subsets of a space in a manner admitting gluing and restriction
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    sheaf
    collection of objects associated to subsets of a space in a manner admitting gluing and restriction

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      F:Open(X)op→SetU=⋃i∈IUi∧s,t∈F(U)∧(∀i∈I:s↾Ui=t↾Ui)⟹s=tU=⋃i∈IUi∧∀i∈I:si∈F(Ui)∧∀i,j∈I:si↾Ui∩Uj=sj↾Ui∩Uj⟹∃s∈F(U)∀i∈I:si=s↾Ui
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