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Commit 2021-09-26 22:22 62abfe52

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refactor(measure_theory/measure/hausdorff): move dimH to a new file, redefine (#9391)

  • move definition of the Hausdorff dimension to a new file topology.metric_space.hausdorff_dimension;
  • move dimH and related lemmas to the root namespace;
  • rewrite the definition so that it no longer requires [measurable_space X] [borel_space X]; use rw dimH_def to get a version using [measurable_space X] from the environment;
  • add dimH_le, set.finite.dimH_zero and finset.dimH_zero;
  • make dimH irreducible.

Estimated changes

deleted theorem holder_with.dimH_image_le
deleted theorem holder_with.dimH_range_le
deleted theorem isometric.dimH_image
deleted theorem isometric.dimH_preimage
deleted theorem isometric.dimH_univ
deleted theorem isometry.dimH_image
deleted def measure_theory.dimH
deleted theorem measure_theory.dimH_Union
deleted theorem measure_theory.dimH_empty
deleted theorem measure_theory.dimH_mono
deleted theorem measure_theory.dimH_union
deleted theorem real.dimH_ball_pi
deleted theorem real.dimH_ball_pi_fin
deleted theorem real.dimH_of_mem_nhds
deleted theorem real.dimH_univ
deleted theorem real.dimH_univ_eq_finrank
deleted theorem real.dimH_univ_pi
deleted theorem real.dimH_univ_pi_fin
added theorem dimH_Union
added theorem dimH_bUnion
added theorem dimH_coe_finset
added theorem dimH_countable
added theorem dimH_def
added theorem dimH_empty
added theorem dimH_finite
added theorem dimH_le
added theorem dimH_mono
added theorem dimH_sUnion
added theorem dimH_singleton
added theorem dimH_subsingleton
added theorem dimH_union
added theorem isometric.dimH_image
added theorem isometric.dimH_univ
added theorem isometry.dimH_image
added theorem real.dimH_ball_pi
added theorem real.dimH_ball_pi_fin
added theorem real.dimH_of_mem_nhds
added theorem real.dimH_univ
added theorem real.dimH_univ_pi
added theorem real.dimH_univ_pi_fin