The sheafification theorem states that any presheaf on a topological space can be uniquely associated with a sheaf that captures its local properties. This process of sheafification ensures that the resulting sheaf satisfies the gluing axiom, allowing for more coherent manipulation and analysis of local data across open sets. The theorem highlights the importance of sheaves in algebraic topology, particularly in studying cohomological properties.
congrats on reading the definition of Sheafification Theorem. now let's actually learn it.