Theorems · Theorem · algebraic topology
Topology.CWComplex.iUnion_openCell_eq_skeleton
∀ {X : Type u_1} [t : TopologicalSpace X] {C : Set X} [inst : T2Space X] [inst_1 : Topology.CWComplex C] (n : ℕ∞),
⋃ m, ⋃ (_ : ↑m < n + 1), ⋃ j, Topology.RelCWComplex.openCell m j = ↑(Topology.RelCWComplex.skeleton C n)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement · cited by 8,199
- ENatstatement and proof · cited by 4,985
- Set.iUnionstatement · cited by 2,483
- T2Spacestatement and proof · cited by 1,351
- Topology.RelCWComplex.cellstatement · cited by 194
- Topology.RelCWComplex.Subcomplexstatement · cited by 110
- Topology.RelCWComplex.openCellstatement · cited by 75
- Topology.CWComplexstatement and proof · cited by 44
- Topology.RelCWComplex.skeletonstatement · cited by 28
- Topology.CWComplex.iUnion_openCell_eq_skeletonLTproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.