On $\frac{\pi }{2}$-separated subsets of Alexandrov spaces with curvature $\ge 1$

Xiaole Su, Hongwei Sun, Yusheng Wang

Let $M$ be an $n$-dimensional Alexandrov space with curvature $\ge 1$, and let $\{q_1,\cdots ,q_k\}$ be any $\frac{\pi }{2}$-separated subset in $M$ (i.e. the distance $|q_iq_j|\geq\fra…