A new order for ideal sequential compactness

Adam Kwela, Dorota Lesner

Let $\mathcal{I}$ be an ideal on $\ddot{I}‰$ and $X$ be a topological space. A sequence $(x_n{)}_{n\in \ddot{I}‰}$ in $X$ is $\mathcal{I}$-convergent if there is $x\in X$ such that $\{n\in ω:x_n\…