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Theorems · Theorem · measure theory

IsometryEquiv.dimH_preimage

∀ {X : Type u_2} {Y : Type u_3} [inst : EMetricSpace X] [inst_1 : EMetricSpace Y] (e : X ≃ᵢ Y) (s : Set Y),
  dimH (⇑e ⁻¹' s) = dimH s
Defined in
Mathlib.Topology.MetricSpace.HausdorffDimension
Cited by
1 results in Mathlib
Foundations
Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
EMetricSpaceEMetricSpace
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IsometryEquiv.dimH_univ · cited by 0IsometryEquiv.dimH_univDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetENNReal · cited by 9879ENNRealSet.preimage · cited by 4946Set.preimageEMetricSpace · cited by 242EMetricSpaceIsometryEquiv · cited by 177IsometryEquivIsometryEquiv.symm · cited by 75IsometryEquiv.symmdimH · cited by 65dimHIsometryEquiv.image_symm · cited by 4IsometryEquiv.image_symmIsometryEquiv.dimH_image · cited by 1IsometryEquiv.dimH_imageIsometryEquiv.dimH_preimageCITED BYCITES

Cites10

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Cited by1

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