Real Algebraic and Analytic Geometry Preprint Server

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Submission: 2004, February 11.

Abstract:
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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