Theorems · Inductive type · general topology
Homeomorph
(X : Type u_5) → (Y : Type u_6) → [TopologicalSpace X] → [TopologicalSpace Y] → Type (max u_5 u_6)
Homeomorphism between X and Y, also called topological isomorphism
- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 725 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 by1,030
Results whose statement or proof uses this declaration.
- Homeomorph.symmstatement and proof · cited by 365
- LinearIsometryEquiv.toContinuousLinearEquivproof · cited by 125
- Homeomorph.toEquivstatement and proof · cited by 77
- Homeomorph.isEmbeddingstatement and proof · cited by 73
- Homeomorph.continuousstatement and proof · cited by 53
- Homeomorph.transstatement and proof · cited by 49
- ContinuousLinearEquiv.toHomeomorphstatement · cited by 44
- Homeomorph.isClosedEmbeddingstatement and proof · cited by 37
- Homeomorph.isInducingstatement and proof · cited by 33
- Homeomorph.toMeasurableEquivstatement and proof · cited by 32
- Homeomorph.map_nhds_eqstatement and proof · cited by 31
- Homeomorph.isOpenMapstatement and proof · cited by 30
Showing the 200 most cited of 1,030.