Real Algebraic and Analytic Geometry
Submission: 2004, February 11.
In this article we deal with capacity of subanalytic sets. First we show that a subanalytic set and its closure have the same capacity. Using this we prove that for subanalytic sets in IR^2 the capacity-density exists and in arbitrary dimension we give connections to certain volume-densities. Finally we also connect volume-densities with fine limit points of subanalytic sets.
Mathematics Subject Classification (2000): 14P15, 31A15, 31C40, 32B20.
Keywords and Phrases: Subanalytic geometry, capacity-density.
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