论文信息 - Indescribable cardinals without diamonds

Indescribable cardinals without diamonds

SummaryWe show that form, n≧1 the existence of a∏nm indescribable cardinal is equiconsistent with the failure of the combinatorial principle at a∏nm indescribable cardinal κ together with the Generalized Continuum Hypothesis.

Kai Hauser

[1] John Gregory,et al. Higher Souslin trees and the generalized continuum hypothesis , 1976, Journal of Symbolic Logic.

[2] Kai Hauser. Indescribable Cardinals and Elementary Embeddings , 1991, J. Symb. Log..

[3] Kai Hauser. The Indestructability of the Order of the Indescribable Cardinals , 1992, Ann. Pure Appl. Log..

[4] Akihiro Kanamori,et al. The evolution of large cardinal axioms in set theory , 1978 .

[5] Dana S. Scott,et al. Higher Set Theory , 1978 .

[6] Saharon Shelah,et al. On Successors of Singular Cardinals , 1979 .