Generalized fusible numbers and their ordinals

Alexander I. Bufetov, Gabriel Nivasch, Fedor Pakhomov

Erickson defined the fusible numbers as a set $\mathcal{F}$ of reals generated by repeated application of the function $\frac{x+y+1}{2}$. Erickson, Nivasch, and Xu showed that $\mat…