Theorems · Definition · measure theory
MeasureTheory.Measure.hausdorffMeasure
{X : Type u_2} → [inst : EMetricSpace X] → [inst_1 : MeasurableSpace X] → [BorelSpace X] → ℝ → MeasureTheory.Measure XHausdorff measure on an (e)metric space.
- Defined in
- Mathlib.MeasureTheory.Measure.Hausdorff
- Cited by
- 71 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealproof · cited by 9,879
- BorelSpacestatement and proof · cited by 1,602
- EMetricSpacestatement and proof · cited by 242
- MeasureTheory.Measure.mkMetricproof · cited by 10
Cited by73
Results whose statement or proof uses this declaration.
- dimHproof · cited by 65
- MeasureTheory.Measure.euclideanHausdorffMeasureproof · cited by 21
- MeasureTheory.Measure.euclideanHausdorffMeasure_defstatement · cited by 10
- dimH_monoproof · cited by 8
- Isometry.hausdorffMeasure_imagestatement · cited by 7
- dimH_defstatement and proof · cited by 5
- MeasureTheory.Measure.nullSingletonClass_hausdorffstatement · cited by 5
- hausdorffMeasure_of_dimH_ltstatement and proof · cited by 5
- MeasureTheory.Measure.hausdorffMeasure_zero_singletonstatement and proof · cited by 5
- dimH_lestatement and proof · cited by 4
- MeasureTheory.Measure.hausdorffMeasure_applystatement · cited by 4
- HolderOnWith.dimH_image_leproof · cited by 3