Theorems · Definition · algebraic topology
Topology.RelCWComplex.toCWComplex
{X : Type u_1} → [inst : TopologicalSpace X] → (C : Set X) → [Topology.RelCWComplex C ∅] → Topology.CWComplex CA relative CW complex with an empty base is an absolute CW complex.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.cellproof · cited by 194
- Topology.RelCWComplex.mapproof · cited by 44
- Topology.CWComplexstatement · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- Topology.CWComplex.mkFiniteproof · cited by 3
- Topology.RelCWComplex.toCWComplex_cellstatement · cited by 0
- Topology.RelCWComplex.toCWComplex_eqstatement · cited by 0
- Topology.RelCWComplex.toCWComplex_mapstatement · cited by 0