5 problems

Quotient-manifold criterion. $H$ is a Banach–Lie subgroup if and only if $G/H$ carries the structure of a Banach manifold for which $q$ has a surjective differential at each point…

Continuous inverse conjecture. The sketch given for solving this differential equation yields a continuous inverse to $ath]\mathcal{R}ath]$.

Let $\mathcal{F}$ be the space of initial data satisfying the prescribed boundary conditions, with $\mathcal{G}$ the space of metrics and $\mathcal{K}$ the space of momentum tensor…

Let $L_{\mathrm{psb}}\mathbb{R}$ denote the space of piecewise-smooth and bounded loops in Euclidean space, with its induced smooth structure. The non-regularity conjecture. The sp…

Let the model space be the space of piecewise-smooth and bounded loops in Euclidean space, equipped with the smooth structure used for manifolds of piecewise-smooth and bounded loo…