Abstract

CARDENAS, Franqui. Ineffable limits of weakly compact cardinals and similar results. Rev.colomb.mat. [online]. 2020, vol.54, n.2, pp.181-186.  Epub Mar 08, 2021. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v54n2.93846.

It is proved that if an uncountable cardinal k has an ineffable subset of weakly compact cardinals, then k is a weakly compact cardinal, and if k has an ineffable subset of Ramsey (Rowbottom, Jónsson, ineffable or subtle) cardinals, then k is a Ramsey (Rowbottom, Jónsson, ineffable or subtle) cardinal.

Keywords : Weakly compact cardinal; subtle cardinal; ineffable cardinal; ineffable set; Jónsson cardinal; Rowbottom cardinal; Ramsey cardinal.

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