A dual characterization of length spaces with application to Dirichlet metric spaces
Peter Stollmann
Studia Mathematica, Tome 196 (2010), p. 221-233 / Harvested from The Polish Digital Mathematics Library
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We show that under minimal assumptions, the intrinsic metric induced by a strongly local Dirichlet form induces a length space. The main input is a dual characterization of length spaces in terms of the property that the 1-Lipschitz functions form a sheaf.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285388 
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Peter Stollmann. A dual characterization of length spaces with application to Dirichlet metric spaces. Studia Mathematica, Tome 196 (2010) pp. 221-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-3-2/