4 problems

For $k\in\mathbb{N}\setminus\{1\}$, let $L_{\geq k}$ be the Lüroth set whose digits are all at least $k$. For subsets of $\mathbb{R}$, write $A+B=\{a+b:a\in A,b\in B\}$. The interv…

For $k\in\mathbb{N}$, let $F_{\leq k}$ and $F_{\geq k}$ denote the continued-fraction sets whose partial quotients are respectively bounded above by $k$ and bounded below by $k$. W…

For $k\in\mathbb{N}\setminus\{1\}$, let $L_{\leq k}$ be the Lüroth set with digits at most $k$, and let $L_{\geq k}$ be the Lüroth set with digits at least $k$. Write…

Let $L_{\leq k}$ denote the Lüroth set whose digits are at most $k$, for $k\in\mathbb{N}\setminus\{1\}$. For subsets of $\mathbb{R}$, write $A+B=\{a+b:a\in A,b\in B\}$, and write…