| 41. | This shows that C _ n is a functor
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| 42. | This tells us that the collection of derived functors is a ?-functor.
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| 43. | Taking tensor products ( over arbitrary rings ) is always a right exact functor.
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| 44. | See also : tangent space to a functor.
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| 45. | In those languages that allow functor factory that returns a wrapped memoized function object.
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| 46. | It follows that any functor which fails to preserve some limit is not representable.
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| 47. | The definition of sheaf cohomology as a derived functor also works on a site.
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| 48. | This makes S into a functor from the category of topological spaces into itself.
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| 49. | Then a span in a category C is a functor S : ? ?
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| 50. | Now suppose that F is a homotopy-invariant, not necessarily excisive functor.
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