论文标题
密度状和广义密度理想
Density-Like and Generalized Density Ideals
论文作者
论文摘要
我们表明，在$ω$上，存在无数（高和非同构密度的理想），这不是通用密度理想的。另外，它们是非人为的。这回答了[J. SYMB。日志。 \ textbf {80}（2015），1268--1289]。最后，我们提供了足够的条件，使其像密度一样的理想程度必定是普遍的密度理想。
We show that there exist uncountably many (tall and nontall) pairwise nonisomorphic density-like ideals on $ω$ which are not generalized density ideals. In addition, they are nonpathological. This answers a question posed by Borodulin-Nadzieja, Farkas, and Plebanek in [J. Symb. Log. \textbf{80} (2015), 1268--1289]. Lastly, we provide sufficient conditions for a density-like ideal to be necessarily a generalized density ideal.
