¹Universidad Nacional de Colombia, Bogotá, Colombia. Email: fscardenasp@unal.edu.co

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.

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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 ]

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