Theorems · Inductive type · algebraic topology
Topology.RelCWComplex.FiniteType
{X : Type u} → [inst : TopologicalSpace X] → (C : Set X) → {D : Set X} → [Topology.RelCWComplex C D] → PropA CW complex is of finite type if cell C n is finite for every n.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement · cited by 24,529
- Topology.RelCWComplexstatement · cited by 195
Cited by11
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.FiniteType.finite_cellstatement and proof · cited by 2
- Topology.RelCWComplex.finite_of_finiteDimensional_finiteTypestatement and proof · cited by 1
- Topology.RelCWComplex.Finite.recOnstatement and proof · cited by 0
- Topology.CWComplex.Subcomplex.finiteType_subcomplex_of_finiteTypestatement · cited by 0
- Topology.CWComplex.finiteType_mkFiniteTypestatement · cited by 0
- Topology.RelCWComplex.FiniteType.casesOnstatement and proof · cited by 0
- Topology.CWComplex.finite_of_finiteDimensional_finiteTypestatement · cited by 0
- Topology.RelCWComplex.finiteType_mkFiniteTypestatement · cited by 0
- Topology.RelCWComplex.FiniteType.recOnstatement and proof · cited by 0
- Topology.RelCWComplex.Finite.casesOnstatement and proof · cited by 0
- Topology.CWComplex.FiniteType.finite_cellstatement · cited by 0