4 problems

Snug embedding conjecture. Any suitable compactification $q$ admits a snugly embedded trunc $G$ in

Let $X=\ell_0^\infty$ and let $J$ be the ideal generated by $L_{oc}^\diamond(X)$ in $L_{oc}(X,X^\delta)$. Vector lattice cover conjecture. The ideal $J$ is a vector lattice cover o…

Let $X$ be an Archimedean pervasive pre-Riesz space, let $I\subseteq X$ be a directed ideal, and let $\hat{I}\subseteq X^\varrho$ be the smallest extension ideal of $I$ in the Ries…

A vector lattice is called locally one-dimensional when it has the notion introduced in the discussion of the Wickstead problem; a vector lattice is discrete if it is atomic. The l…