3 problems

Manifold-with-corners conjecture. There is an open neighborhood $U$ of $\sigma$ such that this map is a homeomorphism from $U$ onto an open subset of $\mathcal{A}^{\mathbb{R}}_n$.

Manifold-with-corners conjecture. The map $\ell_{(-)}(E_1,\ldots,E_n)$ induces a homeomorphism from an open neighborhood of $\sigma$ onto an open subset of…

Let $G$ be a real reductive Lie group with compact center, and let an hd-compactification of $G$ be a compact manifold with corners $\overline{G}$ containing $G$ as its interior an…