A dual characterization of length spaces with application to Dirichlet metric spaces
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🧮 math.MG
math.FA
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lengthspacescharacterizationdirichletdualformmetricapplication
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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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