3 citations · 3 across the 1 of their papers we have counts for
2 papers
math.LO2010★ 3 cited
Hausdorff measure on o-minimal structures
Antongiulio Fornasiero, Elisa Vasquez Rifo
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 prov…
math.LO2008
The Cauchy-Crofton formula and the Whitney arc property for definable sets
Elisa Vasquez Rifo
We use the Cauchy-Crofton formula to show that every definable cell (bounded by a ball with rational radius) in an O-minimal expansion of a field extension of the real numbers sati…