Martínez Alonso, Juan Carlos2009-04-072009-04-0719921088-6826https://hdl.handle.net/2445/7666We prove that if n is an infinite cardinal with $\mathscr{n}^{<\mathscr{n}} = \mathscr{n}$, then there is a cardinal-preserving notion of forcing that forces the existence of a n-thin-tall superatomic Boolean algebra. Consistency for specific n, like ω1, then follows as a corollary.6 p.application/pdfeng(c) American Mathematical Society, 1992Teoria de conjuntsÀlgebra de BooleSet theoryBoolean algebrasinfo:eu-repo/semantics/article74509info:eu-repo/semantics/openAccess