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| Title: | Hausdorff measure on o-minimal structures |
| Authors: | Fornasiero, A.
Rifo, E.V. |
| Keywords: | O-minimality
Hausdorff measure
Whitney arc property
Cauchy-Crofton
coarea |
| Issue Date: | Jun-2012 |
| Publisher: | ASSOC SYMBOLIC LOGIC, INC, 124 RAYMOND AVENUE, POUGHKEEPSIE, NY 12604-0001 USA |
| Citation: | JOURNAL OF SYMBOLIC LOGIC Volume: 77 Issue: 2 Pages: 631-648 |
| Abstract: | We introduce the Hausdorff measure for definable sets in an o-minimal structure, and prove the Cauchy-Crofton and co-area formulae for the o-minimal Hausdorff measure. We also prove that every definable set can be partitioned into "basic rectifiable sets", and that the Whitney arc property holds for basic rectifiable sets. |
| Description: | Rifo, EV (Vasquez Rifo, E. Univ Talca, Inst Matemat & Fis, Talca, Chile. |
| URI: | http://dspace.utalca.cl/handle/1950/9115 |
| ISSN: | 0022-4812 |
| Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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