8 problems

Let $F$ and $H$ be graphs. Let an $F$-forest $T$ be the forest construction used in the source, and let $T^{\star}$ denote its associated graph. Forest sufficient-condition conject…

Let $K\subseteq\mathbb{R}^d$ be a zonotope and let $0<\varepsilon\leq\frac12$. A zonotope is a Minkowski sum of finitely many line segments; its number of segments is the number of…

Let $X$ be a quasi-compact and quasi-separated algebraic stack. An approximation of $X$ is a factorization … where $X\to X_0$ is affine and $X_0$ is of finite presentation over…

Let $X$ be a quasi-compact and quasi-separated algebraic stack. A quasi-coherent $\mathcal{O}_X$-module is said to have the completeness property when it is a directed colimit of f…

Let $n\ge3$, let $\sigma\in\mathbb{R}_{\ge0}^n$ satisfy $\Vert\sigma\Vert_1=1$, and write $\sigma^n$ for the desired power distribution in dimension $n$. Shapley–Shubik approximati…

Let $[q;w_1,\dots,w_n]$ be a weighted majority game with $q\in(0,1)$ and $w\in\mathbb{R}_{\ge0}^n$ normalized by $\Vert w\Vert_1=1$. Let $\Delta=\max_{1\le i\le n}w_i$, and let…

Let $P$ be a power index, let $[q;w_1,\dots,w_n]$ denote a weighted majority game with $q\in(0,1)$, normalized nonnegative weights $w\in\mathbb{R}_{\ge0}^n$ satisfying…

Let $X$ be a finite connected $CW$-complex and let $\overline{X} \to X$ be a $G$-covering. Approximation conjecture for $L^2$-torsion. If the $G$-$CW$-structure on $\overline{X}$ a…