Splitting Families and Complete Separability

Canadian mathematical bulletin

Heike Mildenberger¹  Dilip Raghavan²  Juris Steprans³ 

[1] Albert-Ludwigs-Universität, Freiburg;Kobe University;York University, Toronto, ON

关键词: maximal almost disjoint family;    cardinal invariants;   

DOI  :  10.4153/CMB-2013-027-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We answer a question from Raghavan and Steprāns by showing that $mathfrak{s} = {mathfrak{s}}_{omega, omega}$. Then we use this to construct a completely separable maximal almost disjoint family under $mathfrak{s} leq mathfrak{a}$, partially answering a question of Shelah.

【 授权许可】

Unknown