2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64882We prove the following theorem: For a partially ordered set Q such that every countable subset has a strict upper bound, there is a forcing notion satisfying ccc such that, in the forcing model, there is a basis of the meager ideal of the real line which is order-isomorphic to Q with respect to set-inclusion. This is a variation of Hechler's classical result in the theory of forcing.some minor correctionsLogic03E35text