Normality Criteria for Quasimeromorphic Mappings: Avoidance and Sharing

We establish normality criteria for families of quasimeromorphic mappings in \(\mathbb{R}^n\), \(n\geq 2\), based on the avoidance and sharing of continuous functions. We first establish a rescaling principle for sequences of continuous functions and use it to derive a higher-dimensional analogue of