l^2上的MAD族投影和Ω上的实值函数
MAD Families of Projections on l^2 and Real-Valued Functions on Omega
摘要：
如果两个集合的交集是有限的，则称它们几乎不相交。[omega]^omega和omega^omega几乎不相交的子集已经研究了相当长的一段时间。特别地，基数不变量a和a_e分别定义为[omega]^omega和omega^omega的极大无限几乎不相交族的最小基数，已知它们一致小于连续统。在这里，我们研究了R^omega中函数的类似物和l^2上的投影，表明它们也可以始终小于连续统。
英文摘要：
Two sets are said to be almost disjoint if their intersection is finite. Almost disjoint subsets of [omega]^omega and omega^omega have been studied for quite some time. In particular, the cardinal invariants a and a_e, defined to be the minimum cardinality of a maximal infinite almost disjoint family of [omega]^omega and omega^omega respectively, are known to be consistently less than continuum. Here we examine analogs for functions in R^omega and projections on l^2, showing that they too can be consistently less than continuum.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
