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[Merged by Bors] - feat(measure_theory/covering/besicovitch): the measurable Besicovitch covering theorem #9576

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@sgouezel sgouezel commented Oct 6, 2021

The measurable Besicovitch theorem ensures that, in nice metric spaces, if at every point one considers a class of balls of arbitrarily small radii, called admissible balls, then one can cover almost all the space by a family of disjoint admissible balls. It is deduced from the topological Besicovitch theorem.


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@sgouezel sgouezel added the awaiting-review The author would like community review of the PR label Oct 6, 2021
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Thanks! Very nice!

bors d+

src/measure_theory/covering/besicovitch.lean Outdated Show resolved Hide resolved
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bors bot commented Oct 7, 2021

✌️ sgouezel can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@github-actions github-actions bot added delegated The PR author may merge after reviewing final suggestions. and removed awaiting-review The author would like community review of the PR labels Oct 7, 2021
Co-authored-by: Johan Commelin <johan@commelin.net>
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sgouezel commented Oct 7, 2021

bors r+

@github-actions github-actions bot added the ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) label Oct 7, 2021
bors bot pushed a commit that referenced this pull request Oct 7, 2021
… covering theorem (#9576)

The measurable Besicovitch theorem ensures that, in nice metric spaces, if at every point one considers a class of balls of arbitrarily small radii, called admissible balls, then one can cover almost all the space by a family of disjoint admissible balls. It is deduced from the topological Besicovitch theorem.
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Build failed:

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sgouezel commented Oct 7, 2021

bors r+

bors bot pushed a commit that referenced this pull request Oct 7, 2021
… covering theorem (#9576)

The measurable Besicovitch theorem ensures that, in nice metric spaces, if at every point one considers a class of balls of arbitrarily small radii, called admissible balls, then one can cover almost all the space by a family of disjoint admissible balls. It is deduced from the topological Besicovitch theorem.
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bors bot commented Oct 7, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(measure_theory/covering/besicovitch): the measurable Besicovitch covering theorem [Merged by Bors] - feat(measure_theory/covering/besicovitch): the measurable Besicovitch covering theorem Oct 7, 2021
@bors bors bot closed this Oct 7, 2021
@bors bors bot deleted the besicovitch5 branch October 7, 2021 19:50
@eric-wieser eric-wieser added the hacktoberfest-accepted Without this label hacktoberfest is scared off by bors label Oct 12, 2021
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