Theorems · Definition · global analysis
DiffeologicalSpace.dTopology
{X : Type u_1} → [self : DiffeologicalSpace X] → TopologicalSpace XThe D-topology of the diffeology. This is included as part of the data in order to give control over what the D-topology is defeq to. See also note [forgetful inheritance].
- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- DiffeologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- DiffeologicalSpacestatement and proof · cited by 60
Cited by4
Results whose statement or proof uses this declaration.
- Diffeology.dTopologyproof · cited by 5
- DiffeologicalSpace.replaceDTopologystatement and proof · cited by 1
- DiffeologicalSpace.isOpen_iff_preimages_plotsstatement · cited by 1
- DiffeologicalSpace.replaceDTopology_eqstatement and proof · cited by 0