The Poincar\'e Inequality does not improve with blow-up
Metric Geometry
2016-01-14 v2 Differential Geometry
Abstract
For each we construct a family of metric measure spaces which is closed under the operation of taking weak-tangents (i.e.~blow-ups), and such that each element of admits a -Poincar\'e inequality if and only if .
Keywords
Cite
@article{arxiv.1504.06858,
title = {The Poincar\'e Inequality does not improve with blow-up},
author = {Andrea Schioppa},
journal= {arXiv preprint arXiv:1504.06858},
year = {2016}
}
Comments
Added friendlier description of Graph; changed font to 12pt