Theorems · Definition · algebraic topology
Topology.CWComplex.OfDiscreteClosed
{X : Type u_1} → [t : TopologicalSpace X] → {D : Set X} → IsDiscrete D → IsClosed D → Topology.CWComplex DA closed discrete subset of a space is a CW complex.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Realproof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemproof · cited by 7,166
- Set.imageproof · cited by 5,609
- IsClosedstatement and proof · cited by 1,639
- Matrix.vecEmptyproof · cited by 832
- PartialEquiv.toFunproof · cited by 821
- Metric.closedBallproof · cited by 704
- PartialEquivproof · cited by 335
- IsDiscretestatement and proof · cited by 86
- Topology.CWComplexstatement · cited by 44
Cited by2
Results whose statement or proof uses this declaration.
- Topology.CWComplex.OfDiscreteClosed_cellstatement · cited by 0
- Topology.CWComplex.OfDiscreteClosed_mapstatement · cited by 0