2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78732Let kappa be the limit of <kappa_n : n<omega> (1) if each kappa_n carries an extender of the length of the first Mahlo above kappa_n, then for every ld above kappa there is a generic extension with power of kappa above ld. (2) if each kappa_n carries an extender of the length of the first fixed point of the aleph function above kappa_n of order n then for every ld between kappa and the first inaccessible above kappa there is a generic extension satisfying 2^kappa>ld.15 pages, LaTexLogic03E35,03E55,04A30 (Primary)text