28 citations · 56 across the 16 of their papers we have counts for
14 papers · 1 filter
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…
Global mixed Łojasiewicz inequalities and asymptotic critical values
Si Tiep Dinh, Krzysztof Kurdyka, Tien Son Pham
In this paper, we prove a version of global Łojasiewicz inequality for semialgebraic functions and relate its existence to the set of asymptotic critical values.
Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka +1
We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc spaces. For this purpose we develop motivic integration in the real al…
Linear equations on real algebraic surfaces
Wojciech Kucharz, Krzysztof Kurdyka
We prove that if a linear equation, whose coefficients are continuous rational functions on a nonsingular real algebraic surface, has a continuous solution, then it also has a cont…
Some conjectures on continuous rational maps into spheres
Wojciech Kucharz, Krzysztof Kurdyka
Recently continuous rational maps between real algebraic varieties have attracted the attention of several researchers. In this paper we continue the investigation of approximation…
Comparison of stratified-algebraic and topological K-theory
Wojciech Kucharz, Krzysztof Kurdyka
Stratified-algebraic vector bundles on real algebraic varieties have many desirable features of algebraic vector bundles but are more flexible. We give a characterization of the co…