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The document explains the concept of sheafification of a constant presheaf on a topological space, showing that the sheafification of a constant presheaf P is the constant sheaf A, whose sections are locally constant functions. It details the failure of P to satisfy sheaf conditions in disconnected spaces and outlines the process of sheafification, including verifying the universal property. Additionally, it introduces the construction of the direct-sum presheaf of two sheaves and confirms that it satisfies

Author

zhongrenn9

Language

EN