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arXiv · 1202.2567

Discretization and affine approximation in high dimensions

Sean Li·Assaf Naor
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Abstract

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, Lindenstrass, Preiss and Schechtman. This yields a new approach to Bourgain's discretization theorem for superreflexive targets.

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Sean Li, Assaf Naor. 2012-02-12. Discretization and affine approximation in high dimensions. https://arxiv.org/abs/1202.2567

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