Theorems · Definition · measure theory
dimH
{X : Type u_2} → [EMetricSpace X] → Set X → ENNRealHausdorff dimension of a set in an (e)metric space.
- Cited by
- 65 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- ENNRealstatement · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- iSupproof · cited by 2,415
- ENNReal.ofNNRealproof · cited by 1,279
- NNReal.toRealproof · cited by 1,260
- EMetricSpacestatement and proof · cited by 242
- MeasureTheory.Measure.hausdorffMeasureproof · cited by 71
Cited by65
Results whose statement or proof uses this declaration.
- dimH_monostatement · cited by 8
- dimH_defstatement · cited by 5
- hausdorffMeasure_of_dimH_ltstatement and proof · cited by 5
- Real.dimH_univ_eq_finrankstatement · cited by 4
- LipschitzWith.dimH_image_lestatement · cited by 4
- dimH_bUnionstatement and proof · cited by 4
- dimH_lestatement · cited by 4
- HolderOnWith.dimH_image_lestatement and proof · cited by 3
- Real.dimH_of_mem_nhdsstatement and proof · cited by 3
- dimH_iUnionstatement and proof · cited by 3
- le_dimH_of_hausdorffMeasure_eq_topstatement · cited by 3
- Real.dimH_ball_pistatement and proof · cited by 2