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The Stacks project

Definition 36.14.2. Let X be a scheme. We say approximation by perfect complexes holds on X if for any closed subset T \subset X with X \setminus T retro-compact in X there exists an integer r such that for every triple (T, E, m) as in Definition 36.14.1 with

  1. E is (m - r)-pseudo-coherent, and

  2. H^ i(E) is supported on T for i \geq m - r

approximation holds.


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