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Infinitesimal structure of differentiability spaces, and metric differentiation

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 نشر من قبل Bruce Kleiner
 تاريخ النشر 2015
  مجال البحث
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We prove metric differentiation for differentiability spaces in the sense of Cheeger. As corollaries we give a new proof that the minimal generalized upper gradient coincides with the pointwise Lipschitz constant for Lipschitz functions on PI spaces, a proof that the Lip-lip constant of any Lip-lip space in the sense of Keith is equal to $1$, and new nonembeddability results.



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