4 citations · 5 across the 7 of their papers we have counts for
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math.AG2018
Effective Łojasiewicz gradient inequality and finite determinacy of non-isolated Nash function singularities
Beata Osińska-Ulrych, Grzegorz Skalski, Stanisław Spodzieja
Let be a compact semialgebraic set and let be a nonzero Nash function. We give a Solernó and D'Acunto-Kurdyka type estimation of the exp…
math.AG2018
Exponential convexifying of polynomials
Krzysztof Kurdyka, Katarzyna Kuta, Stanisław Spodzieja
Let be a convex closed and semialgebraic set and let be a polynomial positive on . We prove that there exists an exponent , such that for any…
math.AG2018
A geometric model of an arbitrary differentially closed field of characteristic zero
Stanisław Spodzieja
We give an elementary construction of an arbitrary differentially closed field and of a universal differential extension of a differential field in terms of Nash function fields. W…