PI spaces with analytic dimension 1 and arbitrary topological dimension
Metric Geometry
2015-04-28 v1
Abstract
For every n, we construct a metric measure space that is doubling, satisfies a Poincare inequality in the sense of Heinonen-Koskela, has topological dimension n, and has a measurable tangent bundle of dimension 1.
Keywords
Cite
@article{arxiv.1504.06646,
title = {PI spaces with analytic dimension 1 and arbitrary topological dimension},
author = {Bruce Kleiner and Andrea Schioppa},
journal= {arXiv preprint arXiv:1504.06646},
year = {2015}
}