Mathlib Map

Theorems · Inductive type · general topology

CompactlyGenerated

Type (w + 1)

CompactlyGenerated.{u, w} is the type of u-compactly generated w-small topological spaces. This should always be used with explicit universe parameters.

Defined in
Mathlib.Topology.Category.CompactlyGenerated
Cited by
11 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CompactlyGenerated.toTop · cited by 8CompactlyGenerated.toTopCompactlyGenerated.homeoOfIso · cited by 3CompactlyGenerated.homeoO…CompactlyGenerated.isoOfHomeo · cited by 3CompactlyGenerated.isoOfH…CompactlyGenerated.compactlyGeneratedToTop · cited by 2CompactlyGenerated.compac…CompactlyGenerated.isoEquivHomeo · cited by 2CompactlyGenerated.isoEqu…CompactlyGenerated.of · cited by 2CompactlyGenerated.ofCompactlyGenerated.ofHom · cited by 2CompactlyGenerated.ofHomCompactlyGenerated.mk.inj · cited by 1mk.injCompactlyGenerated.mk.noConfusion · cited by 1mk.noConfusionCompactlyGenerated.casesOn · cited by 0CompactlyGenerated.casesOnCompactlyGenerated.compactlyGeneratedToTop_map · cited by 0CompactlyGenerated.compac…CompactlyGenerated.compactlyGeneratedToTop_obj · cited by 0CompactlyGenerated.compac…CompactlyGenerated.ctorIdx · cited by 0CompactlyGenerated.ctorIdxCompactlyGenerated.fullyFaithfulCompactlyGeneratedToTop · cited by 0CompactlyGenerated.fullyF…CompactlyGenerated.homeoOfIso_apply · cited by 0CompactlyGenerated.homeoO…CompactlyGeneratedCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by30

Results whose statement or proof uses this declaration.