Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation

Jeff Cheeger, Bruce Kleiner, and Andrea Schioppa. "Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation." Analysis and Geometry in Metric Spaces 4.1 (2016): 104-159, electronic only. <http://eudml.org/doc/286768>.

@article{JeffCheeger2016,
abstract = {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.},
author = {Jeff Cheeger, Bruce Kleiner, Andrea Schioppa},
journal = {Analysis and Geometry in Metric Spaces},
keywords = {Metric measure space; bi-Lipschitz embedding; measurable differentiable structure; differentiability space; metric differentiation; metric measure space; differentiability space},
language = {eng},
number = {1},
pages = {104-159, electronic only},
title = {Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation},
url = {http://eudml.org/doc/286768},
volume = {4},
year = {2016},
}

TY - JOUR
AU - Jeff Cheeger
AU - Bruce Kleiner
AU - Andrea Schioppa
TI - Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation
JO - Analysis and Geometry in Metric Spaces
PY - 2016
VL - 4
IS - 1
SP - 104
EP - 159, electronic only
AB - 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.
LA - eng
KW - Metric measure space; bi-Lipschitz embedding; measurable differentiable structure; differentiability space; metric differentiation; metric measure space; differentiability space
UR - http://eudml.org/doc/286768
ER -