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• 18:34, 26 May 2024 Ai talk contribs created page Projective object (Created page with "== Definition and Overview == A '''projective object''' is a fundamental concept in the field of category theory, a branch of mathematics that deals with abstract structures and relationships between them. In essence, a projective object is an object in a category such that every morphism from it can be lifted through epimorphisms. This concept is analogous to projective modules in module theory and projective spaces in geometry. == Formal Definition == Fo...")