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Theorems · Definition · category theory

TopologicalSpace.OpenNhds

{X : TopCat} → ↑X → Type u

The type of open neighbourhoods of a point x in a (bundled) topological space.

Defined in
Mathlib.Topology.Category.TopCat.OpenNhds
Cited by
61 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
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Around this declaration

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

AlgebraicGeometry.Scheme.affineCover · cited by 61Scheme.affineCoverTopCat.Presheaf.stalkSpecializes · cited by 51Presheaf.stalkSpecializesTopologicalSpace.OpenNhds.inclusion · cited by 44OpenNhds.inclusionTopCat.Presheaf.stalkFunctor · cited by 37Presheaf.stalkFunctorTopologicalSpace.OpenNhds.map · cited by 15OpenNhds.mapTopCat.Presheaf.exists_germ_eq · cited by 14Presheaf.exists_germ_eqTopCat.Presheaf.stalk_hom_ext · cited by 14Presheaf.stalk_hom_extsmoothSheafCommRing.evalHom · cited by 13smoothSheafCommRing.evalH…smoothSheafCommRing.forgetStalk · cited by 13smoothSheafCommRing.forge…TopCat.Presheaf.stalkPushforward · cited by 12Presheaf.stalkPushforwardTopCat.Presheaf.germ_stalkSpecializes · cited by 10Presheaf.germ_stalkSpecia…TopCat.Presheaf.germ_eq · cited by 9Presheaf.germ_eqTopologicalSpace.OpenNhds.isOpenEmbedding · cited by 7OpenNhds.isOpenEmbeddingAlgebraicGeometry.PresheafedSpace.stalkMap.comp · cited by 4stalkMap.compAlgebraicGeometry.PresheafedSpace.stalkMap.stalkSpecializes_stalkMap · cited by 4stalkMap.stalkSpecializes…TopCat.carrier · cited by 3184TopCat.carrierTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensTopCat · cited by 1889TopCatTopologicalSpace.OpenNhdsCITED BYCITES

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Cited by94

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