Abstract
Let X be a small category and let A b X {\mathbf {A}}{{\mathbf {b}}^X} be the category of covariant functors on X with values in Ab. Consider the projective limit functor proj lim X : A b X → A b {\lim _X}:{\mathbf {A}}{{\mathbf {b}}^X} \to {\mathbf {Ab}} . The categories X for which proj lim X {\lim _X} is exact are characterized, proving a conjecture of Oberst.
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