On Borel $\sigma$-algebras of topologies generated by two-point selections

S. Garcia-Ferreira

A two-point selection on a set $X$ is a function $f:[X{]}^2\to X$ such that $f(F)\in F$ for every $F\in [X{]}^2$. It is known that every two-point selection $f:[X{]}^2\to X$ induced…