Abstract
Let \(\mathbb{K}\) be an algebraically closed field of characteristic zero, complete with respect to a non-Archimedean absolute value denoted by \(|\cdot|\) . We investigate the uniqueness problems of meromorphic functions on \(\mathbb{K}\) sharing sets with truncated multiple values. We first give a sufficient condition for a finite set \(S\subset \mathbb{K}\) such that if \(f\) and \(g\) share \(S\) with truncated multiple \(m\) , then \(f=g\) . Next, using the concept of truncated sharing and counting multiplicity, we obtain some equivalence between the different notions of unique range sets. As a consequence, we obtain some previous results of Hu-Yang in ([10, 11]).
