2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137258Inverse limits, unlike direct limits, can in general be void, [1]. The existence of fixed points for arbitrary mappings $T : X \longrightarrow X$ is conjectured to be equivalent with the fact that related direct limits of all finite partitions of X are not void.General Mathematicstext