2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145126We extend the scope of B. Shapirovskii's results [B.E Shapirovskii, "Cardinal invariants in Compact Hausdorff Spaces," Amer. Math. Soc. Transl. (2) Vol. 134, 1987, pp. 93-118] on the order of $π$-bases in compact spaces and answer some questions of V. Tkachuk in [V.V. Tkachuk, "Point-countable pi-bases in first-countable and similar spaces," Fund. Math. 186 (2005), pp.55-69].11 pagesGeneral TopologyLogic54A25, 03E10, 03E75, 54A35text