On $\mathcal{I}$-covering images of metric spaces

Xiangeng Zhou, Shou Lin

Let $\mathcal{I}$ be an ideal on $\mathbb{N}$. A mapping $f:X\to Y$ is called an $\mathcal{I}$-covering mapping provided a sequence $\{y_n{\}}_{n\in \mathbb{N}}$ is $\mathcal{I}$-con…