Abstract
In this article we study the capacity of subanalytic sets. First, we show that a subanalytic set and its closure have the same capacity. Using this, we then prove that for subanalytic sets in ${\mathbb R}^2$ the capacity density exists, and for arbitrary dimension we give connections to certain volume densities. Finally, we connect volume densities with fine limit points of subanalytic sets.
Citation
Tobias Kaiser. "Capacity in subanalytic geometry." Illinois J. Math. 49 (3) 719 - 736, Fall 2005. https://doi.org/10.1215/ijm/1258138216
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