The Stacks project

  • $\mathcal{Q} =$“locally of finite type”, $\mathcal{R} = \emptyset $, and $\mathcal{P} =$“locally quasi-finite”. This is the case $d = 0$ of the previous item, see Morphisms of Spaces, Lemma 66.34.6. On the other hand, properties (3) and (4) are spelled out in Morphisms of Spaces, Lemma 66.34.7.

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