Global mixed Łojasiewicz inequalities and asymptotic critical values
Volume 123 / 2019
Annales Polonici Mathematici 123 (2019), 259-266 MSC: Primary 14P10; Secondary 14D06, 58K05, 32S20. DOI: 10.4064/ap180920-27-3 Published online: 23 July 2019
We prove a version of the global Łojasiewicz inequality for $C^1$ semialgebraic functions and relate its existence to the set of asymptotic critical values.