Theorems · Inductive type · algebraic topology
Topology.RelCWComplex.Finite
{X : Type u_1} → [inst : TopologicalSpace X] → (C : Set X) → {D : Set X} → [Topology.RelCWComplex C D] → PropA CW complex is finite if it is finite dimensional and of finite type.
- Cited by
- 11 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 by13
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.finite_cells_of_finitestatement and proof · cited by 2
- Topology.RelCWComplex.finite_of_finite_cellsstatement · cited by 2
- Topology.RelCWComplex.finite_iff_finite_cellsstatement and proof · cited by 1
- Topology.RelCWComplex.finite_of_finiteDimensional_finiteTypestatement · cited by 1
- Topology.RelCWComplex.Finite.recOnstatement and proof · cited by 0
- Topology.CWComplex.Subcomplex.finite_subcomplex_of_finitestatement · cited by 0
- Topology.CWComplex.finite_cells_of_finitestatement · cited by 0
- Topology.CWComplex.finite_iff_finite_cellsstatement · cited by 0
- Topology.CWComplex.finite_mkFinitestatement · cited by 0
- Topology.CWComplex.finite_of_finiteDimensional_finiteTypestatement · cited by 0
- Topology.CWComplex.finite_of_finite_cellsstatement · cited by 0
- Topology.RelCWComplex.finite_mkFinitestatement · cited by 0