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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Hom.isSpectralMap

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.QuasiCompact f], IsSpectralMap ⇑f
Defined in
Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact
Cited by
2 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.QuasiCompact
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.isRetrocompact_basicOpen · cited by 1AlgebraicGeometry.isRetro…AlgebraicGeometry.AlgebraicCycle.map · cited by 1AlgebraicCycle.mapAlgebraicGeometry.Scheme.Hom.isCompact_preimage · cited by 1Hom.isCompact_preimageDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeContinuousMap · cited by 2491ContinuousMapCommRingCat · cited by 2333CommRingCatAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…AlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…TopCat · cited by 1889TopCatAlgebraicGeometry.Scheme.toLocallyRingedSpace · cited by 1734Scheme.toLocallyRingedSpa…AlgebraicGeometry.PresheafedSpace.Hom.base · cited by 1135Hom.baseAlgebraicGeometry.LocallyRingedSpace.Hom.toHom · cited by 995Hom.toHomAlgebraicGeometry.Scheme.Hom.toLRSHom' · cited by 895Hom.toLRSHom'Hom.isSpectralMapCITED BYCITES

Cites18

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Cited by3

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