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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Opens.topIso_inv

∀ {X : AlgebraicGeometry.Scheme} (U : X.Opens), U.topIso.inv = X.presheaf.map (CategoryTheory.eqToHom ⋯).op
Defined in
Mathlib.AlgebraicGeometry.Restrict
Cited by
15 results in Mathlib
Foundations
Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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AlgebraicGeometry.Scheme.Opens.toSpecΓ_SpecMap_presheaf_map_top · cited by 3Opens.toSpecΓ_SpecMap_pre…AlgebraicGeometry.Scheme.Opens.toSpecΓ_appTop · cited by 3Opens.toSpecΓ_appTopAlgebraicGeometry.Proj.awayι_comp_map · cited by 3Proj.awayι_comp_mapAlgebraicGeometry.IsAffineOpen.isoSpec_inv_appTop · cited by 3IsAffineOpen.isoSpec_inv_…AlgebraicGeometry.HasAffineProperty.of_iSup_eq_top · cited by 3HasAffineProperty.of_iSup…AlgebraicGeometry.Scheme.Opens.toSpecΓ_top · cited by 2Opens.toSpecΓ_topAlgebraicGeometry.Scheme.Hom.toNormalization_app_preimage · cited by 2Hom.toNormalization_app_p…AlgebraicGeometry.Scheme.Opens.toSpecΓ_SpecMap_presheaf_map · cited by 2Opens.toSpecΓ_SpecMap_pre…AlgebraicGeometry.Scheme.Opens.toSpecΓ_preimage_basicOpen · cited by 1Opens.toSpecΓ_preimage_ba…AlgebraicGeometry.IsAffineOpen.isoSpec_hom_appTop · cited by 1IsAffineOpen.isoSpec_hom_…AlgebraicGeometry.Scheme.Hom.resLE_app_top · cited by 1Hom.resLE_app_topAlgebraicGeometry.Proj.basicOpenToSpec_app_top · cited by 1Proj.basicOpenToSpec_app_…AlgebraicGeometry.ΓSpecIso_obj_hom · cited by 0AlgebraicGeometry.ΓSpecIs…AlgebraicGeometry.isAffineOpen_of_isAffineOpen_basicOpen · cited by 0AlgebraicGeometry.isAffin…AlgebraicGeometry.Scheme.Opens.ι_image_basicOpen_topIso_inv · cited by 0Opens.ι_image_basicOpen_t…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objTop.top · cited by 9680Top.topCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.Iso.inv · cited by 6514Iso.invTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCommRingCat · cited by 2333CommRingCatTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…Quiver.Hom.op · cited by 1948Hom.opAlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…TopCat · cited by 1889TopCatOpens.topIso_invCITED BYCITES

Cites27

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Cited by15

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