2 problems

Let $(X,d)$ be a metric space with basepoint $x_0$ and suppose there is a sequence of distinct points converging to $x_0$ such that the sum of their distances from $x_0$ is finite,…

Let $X$ be a set, and let $\mathcal{E}$ be a coarse structure on $X$. A coarse structure is cellular if it has a base consisting of equivalence relations. The cellular join conject…