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The higher Cichoń diagram in the degenerate case

IF 0.3 Q4 MATHEMATICS
Tsukuba Journal of Mathematics Pub Date : 2019-07-06 DOI:10.21099/tkbjm/20224602255
J. Brendle
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引用次数: 4

Abstract

For a regular uncountable cardinal kappa, we discuss the order relationship between the unbounding and dominating numbers on kappa and cardinal invariants of the higher meager ideal M_kappa. In particular, we obtain a complete characterization of add(M_kappa) and cof(M_kappa) in terms of cov(M_kappa) and non(M_kappa) and unbounding and dominating numbers, and we provide models showing that there are no restrictions on the value of non(M_kappa) in the degenerate case 2^{ kappa except 2^{
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退化情形下的高Cichoń图
对于正则不可数基数kappa，我们讨论了kappa上的不定界数和支配数与高穷理想M_kappa的基数不变量之间的阶关系。特别地，我们获得了add（M_kappa）和cof（M_kapa）在cov（M_kapper）和non（M_kaper）以及解围和支配数方面的完整表征，并且我们提供的模型表明，在退化情况2^{kappa中，除了2^{
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Tsukuba Journal of Mathematics
Tsukuba Journal of Mathematics MATHEMATICS-
自引率
14.30%
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