Theorems · Definition · algebraic topology
Topology.RelCWComplex.cell
{X : Type u} →
{inst : TopologicalSpace X} → (C : Set X) → {D : outParam (Set X)} → [self : Topology.RelCWComplex C D] → ℕ → Type uThe indexing type of the cells of dimension n.
- Cited by
- 194 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 6 definitions · uses no axioms
- Assumes
- Topology.RelCWComplex
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 and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Topology.RelCWComplexstatement and proof · cited by 195
Cited by216
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.openCellstatement and proof · cited by 75
- Topology.RelCWComplex.closedCellstatement and proof · cited by 70
- Topology.RelCWComplex.cellFrontierstatement and proof · cited by 45
- Topology.RelCWComplex.mapstatement · cited by 44
- Topology.RelCWComplex.skeletonLTproof · cited by 34
- Topology.RelCWComplex.Subcomplex.Istatement · cited by 32
- Topology.CWComplex.OneSkeletonGraphstatement and proof · cited by 8
- Topology.RelCWComplex.coe_skeletonLTstatement · cited by 8
- Topology.RelCWComplex.openCell_subset_closedCellstatement and proof · cited by 8
- Topology.RelCWComplex.disjoint_openCell_of_nestatement and proof · cited by 6
- Topology.RelCWComplex.injective_map_zerostatement and proof · cited by 5
- Topology.RelCWComplex.skeletonLT_monoproof · cited by 4
Showing the 200 most cited of 216.