5 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 $k\in\mathbb{N}\setminus\{1\}$, 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…

Let $L(\psi)$ be the set of points defined by the Lüroth approximation condition associated with a function $\psi:\mathbb{N}\to(0,1]$, and let $\underline{\tau}_\psi$ denote the co…

Let $L(\psi)$ be the set of points defined by the Lüroth approximation condition associated with a function $\psi:\mathbb{N}\to(0,1]$, and let $\underline{\tau}_\psi$ denote the co…