Theorems · Definition · general topology
smallInductiveDimension
(X : Type u_1) → [TopologicalSpace X] → WithBot ℕ∞
The small inductive dimension of a topological space.
- Defined in
- Mathlib.Topology.SmallInductiveDimension
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 32 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredproof · cited by 6,101
- ENatstatement and proof · cited by 4,985
- WithBotstatement and proof · cited by 1,498
- InfSet.sInfproof · cited by 935
- HasSmallInductiveDimensionLTproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- smallInductiveDimension_le_iffstatement · cited by 3
- smallInductiveDimension_lt_iffstatement · cited by 2
- smallInductiveDimension_eq_botstatement and proof · cited by 1
- smallInductiveDimension_lestatement · cited by 0
- smallInductiveDimension_ltstatement · cited by 0
- smallInductiveDimension_of_isEmptystatement · cited by 0
- smallInductiveDimension_eqstatement · cited by 0