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feat(MeasureTheory/Measure/Hausdorff) add `exists_accPt_of_pos_hausdorffMeasure `

Open tdwag123 opened this issue 1 month ago • 2 comments

feat(MeasureTheory/Measure/Hausdorff): Added a theorem that states if a set has positive s-dimensional Hausdorff measure, then it has an accumulation point, along with necessary proofs.

Theorem added: exists_accPt_of_pos_hausdorffMeasure

Harmonic's Aristotle gave the initial version of the proofs.

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tdwag123 avatar Dec 13 '25 19:12 tdwag123

PR summary c65620fa17

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ exists_accPt_of_noAtoms ++ discreteTopology_of_noAccPts

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

github-actions[bot] avatar Dec 13 '25 19:12 github-actions[bot]

🚨 PR Title Needs Formatting

Please update the title to match our commit style conventions.

Errors from script:

error: the PR title does not contain a colon
Details on the required title format

The title should fit the following format:

<kind>(<optional-scope>): <subject>

<kind> is:

  • feat (feature)
  • fix (bug fix)
  • doc (documentation)
  • style (formatting, missing semicolons, ...)
  • refactor
  • test (when adding missing tests)
  • chore (maintain)
  • perf (performance improvement, optimization, ...)
  • ci (changes to continuous integration, repo automation, ...)

<optional-scope> is a name of module or a directory which contains changed modules. This is not necessary to include, but may be useful if the <subject> is insufficient. The Mathlib directory prefix is always omitted. For instance, it could be

  • Data/Nat/Basic
  • Algebra/Group/Defs
  • Topology/Constructions

<subject> has the following constraints:

  • do not capitalize the first letter
  • no dot(.) at the end
  • use imperative, present tense: "change" not "changed" nor "changes"

github-actions[bot] avatar Dec 13 '25 19:12 github-actions[bot]

Can you update the PR title and description?

plp127 avatar Dec 21 '25 15:12 plp127