A dual characterization of length spaces with application to Dirichlet metric spaces

Details A dual characterization of length spaces with application to Dirichlet metric spaces A dual characterization of length spaces with application to Dirichlet metric spaces

2009-03-20

arxiv.org/abs/0903.3544v1

Mathematics

Metric Geometry

Scientific paper

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.

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