6 problems

Let $\alpha,\beta$ be Schmidt-game parameters, and let $\gamma_A$ and $\gamma_B$ denote the auxiliary constants associated with Alice's and Bob's moves. Let…

Let $D^-_{c}$ denote the set of real numbers whose lower frequency of the digit $0$ is greater than $c$, and let $D(D^-_{c})$ denote its set of Schmidt-game parameters…

Winning criterion conjecture.

Schmidt's conjecture.

HAW conjecture on $H$. The set

Winning conjecture. For every $m\in\mathbb{Q}$, the set $BA_{\partial X}^{\psi}(X_m(\mathbb{Z}))$ is a (strong) winning subset of $\partial X$.