1Universidad Nacional de Colombia, Bogotá, Colombia. Email: fscardenasp@unal.edu.co
]]> Abstract
If there is a strongly unfoldable cardinal then there is a forcing extension with a simplified (ω2,1)-morass and no simplified (ω1,1)-morass with linear limits.
Key words: Morasses, Square Sequences, Unfoldable cardinals.
Si hay un cardinal desdoblable entonces hay una extensión forcing con una (ω2,1)-morass simplificada y ninguna (ω1,1)-morass simplificada con límites lineales.
Palabras clave: Morasses, sucesiones cuadrado, cardinales desdoblables.
Texto completo disponible en PDF
References
[1] V. Dan, `Simplified Morasses with Linear Limits´, J. Symbolic Logic 4, (1984), 1001-1021. [ Links ]
[2] D. Hans-Dieter, `Another Look at Gap-1 Morasses´, Proc. Sympos. Pure Math. 42, (1985), 223-236. [ Links ]
[3] B. James, `A New Class of Order Types´, Ann. Math. Logic 9, (1976), 187-222. [ Links ]
[4] C. James, Large Cardinal Properties of Small Cardinals, `In Proceedinds of the 1996 Barcelona Set theory´, (1996), Kluwer Academic Publisher, p. 23-39. [ Links ]
[5] B. Taylor, Large Cardinals and L-Like Combinatorics, Ph.D. Thesis, Universität Wien, 2007. [ Links ]
[6] J. Thomas, `Strongly Unfoldable Cardinals made Indestructible´, J. Symbolic Logic 73, 4 (2008), 1215-1248. [ Links ]
[7] A. Villaveces, `Chains of Elementary end Extensiond of Models of Set Theory´, J. Symbolic Logic 63, 3 (1998), 1116-1136. [ Links ]
Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv45n1a03,
AUTHOR = {Cárdenas, Franqui},
TITLE = {{Simplified Morasses without Linear Limits}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2011},
volume = {45}, ]]>
number = {1},
pages = {31-35}
}