3 problems

For a graph $G$, let $\text{\tt Hom}(G,H)$ denote its Hom-complex. Let $V_2(\mathbb R^{n-1})$ be the Stiefel manifold of orthonormal $2$-frames in $\mathbb R^{n-1}$. Csorba's conje…

Injectivity conjecture. The projected normal random variable has inherent average $\mathbb{E}[X]$. Moreover, there exists an injective function

Let $\mathbb{K}$ be the underlying scalar field, let $\operatorname{M}_{n,k}(\mathbb{K})$ be the ambient matrix space, and let $\operatorname{St}_{n,k}(\mathbb{K})$ be the Stiefel…