Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation

We prove metric differentiation for differentiability spaces in the sense of Cheeger [10, 14, 27]. As corollarieswe give a new proof of one of the main results of [14], a proof that the Lip-lip constant of any Lip-lip space in the sense of Keith [27] is equal to 1, and new nonembeddability results.

Bibliographic Details
Main Authors: Cheeger Jeff, Kleiner Bruce, Schioppa Andrea
Format: Article
Language:English
Published: De Gruyter 2016-08-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2016-0005