Theorems · Definition · general topology
Homeomorph.sumComm
(X : Type u) → (Y : Type v) → [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → X ⊕ Y ≃ₜ Y ⊕ X
X ⊕ Y is homeomorphic to Y ⊕ X.
- Defined in
- Mathlib.Topology.Constructions.SumProd
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Equivproof · cited by 8,337
- Homeomorphstatement · cited by 725
- Equiv.sumCommproof · cited by 23
Cited by4
Results whose statement or proof uses this declaration.
- Homeomorph.emptySumproof · cited by 1
- Topology.IsOpenEmbedding.sumSwapproof · cited by 1
- Homeomorph.coe_sumCommstatement · cited by 0
- Homeomorph.sumComm_symmstatement · cited by 0