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Let $S$ be a scheme contained in $\mathbf{Sch}_{fppf}$. Let $\mathfrak{X}$ bea Noetherian separated algebraic space over $S$. In this paper, we interpretlocalizing subcategories of the derived category of $\mathfrak{X}$ by usingsubsets of $|\mathfrak{X}|$.

On localizing subcategories of derived categories of categories of quasi-coherent sheaves on Noetherian algebraic spaces