Theorems · Definition · algebraic topology
Topology.RelCWComplex.Subcomplex.I
{X : Type u_1} →
[t : TopologicalSpace X] →
{C D : Set X} →
[inst : Topology.RelCWComplex C D] →
Topology.RelCWComplex.Subcomplex C → (n : ℕ) → Set (Topology.RelCWComplex.cell C n)The indexing set of cells of the subcomplex.
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement · cited by 194
- Topology.RelCWComplex.Subcomplexstatement and proof · cited by 110
Cited by33
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.Subcomplex.closedCell_subset_of_memstatement and proof · cited by 4
- Topology.RelCWComplex.Subcomplex.copystatement and proof · cited by 4
- Topology.RelCWComplex.Subcomplex.subset_complexproof · cited by 3
- Topology.RelCWComplex.Subcomplex.unionstatement · cited by 3
- Topology.RelCWComplex.skeletonLT_Istatement and proof · cited by 1
- Topology.RelCWComplex.Subcomplex.cellFrontier_subset_of_memstatement and proof · cited by 1
- Topology.RelCWComplex.Subcomplex.coe_copystatement and proof · cited by 1
- Topology.RelCWComplex.Subcomplex.copy_eqstatement and proof · cited by 1
- Topology.RelCWComplex.Subcomplex.disjoint_openCell_subcomplex_of_not_memstatement and proof · cited by 1
- Topology.RelCWComplex.Subcomplex.openCell_subset_of_memstatement and proof · cited by 1
- Topology.RelCWComplex.Subcomplex.union'statement · cited by 1
- Topology.RelCWComplex.Subcomplex.union_closedCellstatement and proof · cited by 1