Theorems · Inductive type · general topology
OpenPartialHomeomorph
(X : Type u_7) → (Y : Type u_8) → [TopologicalSpace X] → [TopologicalSpace Y] → Type (max u_7 u_8)
Partial homeomorphisms, defined on open subsets of the space
- Cited by
- 664 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
Cited by829
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- OpenPartialHomeomorph.symmstatement and proof · cited by 460
- chartAtstatement · cited by 301
- Bundle.Trivialization.toOpenPartialHomeomorphstatement · cited by 148
- OpenPartialHomeomorph.extendstatement and proof · cited by 133
- OpenPartialHomeomorph.transstatement and proof · cited by 98
- OpenPartialHomeomorph.left_invstatement and proof · cited by 78
- OpenPartialHomeomorph.open_sourcestatement and proof · cited by 65
- IsManifold.maximalAtlasstatement · cited by 65
- atlasstatement · cited by 60
- UpperHalfPlane.ofComplexstatement · cited by 59
Showing the 200 most cited of 829.