Kaiser, Tobias (2005) Capacity in subanalytic geometry. ILLINOIS JOURNAL OF MATHEMATICS, 49 (3). pp. 719-736. ISSN 0019-2082, 1945-6581
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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 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DENSITY; SETS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Apr 2021 12:44 |
| Last Modified: | 27 Apr 2021 12:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/35691 |
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