Structure of sets of bounded sequences with a prescribed number of accumulation points

Quentin Menet, Dimitris Papathanasiou

For each vector $x\in {\ell }^{\infty }$, we can define the non-empty compact set $L_x$ of accumulation points of $x$. Given an infinite subset $A$ of $\mathbb{N}\backslash \{1\}$, we c…