2 papers
math.FA2026
Normed lattices majorizing in their norm completions
Eugene Bilokopytov, Viktor Bohdanskyi
This note is a follow-up to \cite{bt}. We focus on conditions under which a normed lattice is majorizing in its norm completion. We show that \cite[Question 8.17]{bt} -- namely…
math.FA2025
Countability conditions in locally solid convergence spaces
Eugene Bilokopytov, Viktor Bohdanskyi, Jan Harm van der Walt
We study (strong) first countability of locally solid convergence structures on Archimedean vector lattices. Among other results, we characterise those vector lattices for which re…