Coincidence and noncoincidence of dimensions in compact subsets of $[0,1]$

Andrew Mitchell, Lars Olsen

We show that given any six numbers $r,s,t,u,v,w\in (0,1]$ satisfying $r\le s\le \min (t,u)\le \max (t,u)\le v\le w$, it is possible to construct a compact subset of $[0,1]…