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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.54 no.2 Bogotá July/Dec. 2020 Epub Mar 08, 2021
https://doi.org/10.15446/recolma.v54n2.93846
Artículos originales
Ineffable limits of weakly compact cardinals and similar results
Límites inefables de cardinales débilmente compactos
1 Universidad Nacional de Colombia, Bogotá, Colombia
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
Se prueba que si un cardinal no contable k tiene un subconjunto casi inefable de cardinales débilmente compactos entonces k es un cardinal débilmente compacto. Y si k tiene un conjunto inefable de cardinales de Ramsey (Rowbottom, Jónsson, inefables o sutiles) entonces k es cardinal de Ramsey (Rowbottom, Jónsson, inefable o sutil).
Palabras clave: Cardinal débilmente compacto; cardinal sutil; cardinal inefable; conjunto inefable; cardinal Jónsson; cardinal Rowbottom; cardinal Ramsey
References
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Received: March 06, 2020; Accepted: October 01, 2020
This is an open-access article distributed under the terms of the Creative Commons Attribution License
