Note on the projective limit on small categories
Copyright policy )Note on the projective limit on small categories
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.
- University of Oslo Norway
Functor categories, comma categories, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Derived functors and satellites
Functor categories, comma categories, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Derived functors and satellites
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