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searching for Gluing axiom 2 found (15 total)

Constant sheaf (1,006 words) [view diff] exact match in snippet view article find links to article

of inclusions (a presheaf), because it is constant. It satisfies the gluing axiom, but is not a sheaf because it fails the local identity axiom on the

Sheaf of modules (3,459 words) [view diff] exact match in snippet view article find links to article

groups. One can show it is in fact a B-sheaf (i.e., it satisfies the gluing axiom) and thus defines the sheaf M ~ {\displaystyle {\widetilde {M}}} on X