5 problems

C-minimal analogue conjecture. There is some $\alpha\in\mathbb{C}_p$ and an algebraically closed subfield $M\subseteq\mathbb{C}_p$ closed under $f_\alpha$ such that the structure…

Let $(X,\mathsf{d},\mathfrak{m})$ be the RCD space under discussion, let $k=\dim(X,\mathsf{d},\mathfrak{m})$, and let $\mathcal{R}_k^*$ be the full-measure regular set. Let $\phi$…

Let $X$ be a Banach space, let $d4a5=\left\{F_t\right\}_{t\ge0}\subset C^k(\mathcal{D})$ be a semigroup on a domain $\mathcal{D}\subset X$, and let $T$-continuity mean continuity i…

Let $Q^d$ be the $d$-dimensional cube, and let $f$ be a function on $Q^d$. For an integer $k\geq 2$, write $D_x^k f$ for the Peano $k$-th differential at $x$ and $\partial_x^k f$ f…

Let $F_k$ and $G_k$ be the arithmetic Fourier series considered in the paper, and let $q_n(x)$ denote the denominators of the continued-fraction convergents of $x$. Let…