Theorems · Definition · algebraic topology
Topology.RelCWComplex.skeleton
{X : Type u_1} →
[t : TopologicalSpace X] →
[T2Space X] →
(C : Set X) → {D : Set X} → [inst : Topology.RelCWComplex C D] → ℕ∞ → Topology.RelCWComplex.Subcomplex CThe n-skeleton of a CW complex, for n ∈ ℕ ∪ {∞}. For statements use skeletonLT instead
and then derive the statement about skeleton.
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ENatstatement and proof · cited by 4,985
- T2Spacestatement and proof · cited by 1,351
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.Subcomplexstatement · cited by 110
- Topology.RelCWComplex.skeletonLTproof · cited by 34
Cited by28
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.skeleton_monostatement · cited by 2
- Topology.RelCWComplex.openCell_subset_skeletonstatement · cited by 2
- Topology.RelCWComplex.closedCell_subset_skeletonstatement · cited by 2
- Topology.RelCWComplex.skeleton_inter_closedCell_eq_skeleton_inter_cellFrontierstatement · cited by 1
- Topology.RelCWComplex.skeleton_monotonestatement · cited by 1
- Topology.RelCWComplex.skeleton_topstatement · cited by 1
- Topology.RelCWComplex.skeleton_union_iUnion_closedCell_eq_skeleton_succstatement · cited by 1
- Topology.RelCWComplex.disjoint_skeleton_openCellstatement · cited by 1
- Topology.RelCWComplex.iUnion_cellFrontier_subset_skeletonstatement · cited by 1
- Topology.RelCWComplex.iUnion_skeleton_eq_complexstatement and proof · cited by 1
- Topology.CWComplex.mem_skeleton_iffstatement · cited by 1
- Topology.RelCWComplex.mem_skeleton_iffstatement · cited by 1