Theorems · Theorem · algebraic topology
Topology.RelCWComplex.isCompact_closedCell
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D] {n : ℕ}
{i : Topology.RelCWComplex.cell C n}, IsCompact (Topology.RelCWComplex.closedCell n i)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- IsCompactstatement · cited by 1,282
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.closedCellstatement · cited by 70
- ProperSpace.isCompact_closedBallproof · cited by 40
- IsCompact.image_of_continuousOnproof · cited by 24
- Topology.RelCWComplex.continuousOnproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.isClosed_closedCellproof · cited by 4
- Topology.CWComplex.isCompact_closedCellproof · cited by 0