Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsImmersion.isPullback_toImage_liftCoborder
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.IsImmersion f]
[AlgebraicGeometry.QuasiCompact f],
CategoryTheory.IsPullback (AlgebraicGeometry.Scheme.Hom.toImage f) (AlgebraicGeometry.Scheme.Hom.liftCoborder f)
(AlgebraicGeometry.Scheme.Hom.imageι f) (AlgebraicGeometry.Scheme.Hom.coborderRange f).ιIf f : X ⟶ Y is a quasi-compact immersion, then X is the pullback of the
closed immersion im f ⟶ Y and an open immersion U ⟶ Y.
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- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
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