A dual characterization of length spaces with application to Dirichlet metric spaces
Metric Geometry
2009-03-23 v1 Functional Analysis
Abstract
We show that under minimal assumptions, the intrinsic metric induced by a strongly local Dirichlet form induces a length space. A main input is a dual characterization of length spaces in terms of the property that the 1-Lipschitz functions form a sheaf.
Keywords
Cite
@article{arxiv.0903.3544,
title = {A dual characterization of length spaces with application to Dirichlet metric spaces},
author = {Peter Stollmann},
journal= {arXiv preprint arXiv:0903.3544},
year = {2009}
}