Effective Łojasiewicz gradient inequality and finite determinacy of non-isolated Nash function singularities

Beata Osińska-Ulrych, Grzegorz Skalski, Stanisław Spodzieja

Let $X\subset {\mathbb{R}}^n$ be a compact semialgebraic set and let $f:X\to \mathbb{R}$ be a nonzero Nash function. We give a Solernó and D'Acunto-Kurdyka type estimation of the exp…