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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Spec.toTop

CategoryTheory.Functor CommRingCatᵒᵖ TopCat

The spectrum, as a contravariant functor from commutative rings to topological spaces.

Defined in
Mathlib.AlgebraicGeometry.Spec
Cited by
2 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

AlgebraicGeometry.Spec.toTop_obj_carrier · cited by 0Spec.toTop_obj_carrierAlgebraicGeometry.Spec.coe_toTop_map_hom_apply_asIdeal · cited by 0Spec.coe_toTop_map_hom_ap…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCommRingCat · cited by 2333CommRingCatOpposite.unop · cited by 2231Opposite.unopTopCat · cited by 1889TopCatQuiver.Hom.unop · cited by 903Hom.unopAlgebraicGeometry.Spec.topObj · cited by 17Spec.topObjAlgebraicGeometry.Spec.topMap · cited by 13Spec.topMapSpec.toTopCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.