feat(MeasureTheory/Measure/Hausdorff) โ ๐ > 0, โ ๐ธ โ ๐ ^๐, ๐ป^๐ (๐ธ)>0 โโ โ ๐ฅ โ ๐ ^๐ , ๐ฅ isย anย accumulationย pointย ofย ๐(๐ธ).#1
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Added a theorem that states if a set has positive s-dimensional Hausdorff measure, then it has an accumulation point, along with necessary proofs.
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Added a theorem that states if a set has positive s-dimensional Hausdorff measure, then it has an accumulation point, along with necessary proofs.
feat(MeasureTheory/Measure/Hausdorff): proved: If s>0 and a set EโR^n has positive s-dimensional Hausdorff measure, then there exists a point xโR^n that is an accumulation point of P(E).
All lemmas and theorems:
exists_accPt_of_pos_hausdorffMeasureHarmonic's Aristotle gave the initial version of the proof.