Discretization and affine approximation in high dimensions

Sean Li, Assaf Naor

Research output: Contribution to journalArticlepeer-review


Lower estimates are obtained for the macroscopic scale of affine approximability of vector-valued Lipschitz functions on finite-dimensional normed spaces, completing the work of Bates, Johnson, Lindenstrauss, Preiss and Schechtman. This yields a new approach to Bourgain's discretization theorem for superreflexive targets.

Original languageEnglish (US)
Pages (from-to)107-129
Number of pages23
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Oct 2013

ASJC Scopus subject areas

  • General Mathematics


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