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The density zero ideal and the splitting number
Annals of Pure and Applied Logic ( IF 0.6 ) Pub Date : 2020-03-19 , DOI: 10.1016/j.apal.2020.102807 Dilip Raghavan
中文翻译:
密度零理想和分裂数
更新日期:2020-03-19
Annals of Pure and Applied Logic ( IF 0.6 ) Pub Date : 2020-03-19 , DOI: 10.1016/j.apal.2020.102807 Dilip Raghavan
The main result of this paper is an improvement of the upper bound on the cardinal invariant that was discovered in [11]. Here is the ideal of subsets of the set of natural numbers that have asymptotic density zero. This improved upper bound is also dualized to get a better lower bound on the cardinal . En route some variations on the splitting number are introduced and several relationships between these variants are proved.
中文翻译:
密度零理想和分裂数
本文的主要结果是改进了基不变量的上限 在[11]中发现的。这里是具有零渐近密度的自然数集的理想子集。改进的上限也被双重化,从而在基数上获得更好的下限。在途中介绍了分割数的一些变体,并证明了这些变体之间的几种关系。