2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220319Let $X$ be a non-compact proper Busemann space. We introduce a collection of binary relations on its ideal boundaries generalizing comparison of Tits metric with two key values $π$ and $π/2$. This allows to use properties of Tits metric known for CAT(0)-space without metric itself.Metric Geometry53C70Tits geometry on ideal boundaries of Busemann non-positively curved spacetext