论文标题

无效的无效的理想

A null ideal for inaccessibles

论文作者

Friedman, Sy David, Laguzzi, Giorgio

论文摘要

在本文中,我们介绍了一个类似树状的强迫概念,该概念在广义第托空间的上下文中扩展了随机强迫的某些特性,并研究了其无效集合和可测量性概念相关的理想。 Shelah([11,问题0.5])也解决了这个问题,并涉及强迫的定义,即$κ^kappa $ bunding,$ <κ$ clucked和$κ^+$ -CC,$κ$ noccctible。

In this paper we introduce a tree-like forcing notion extending some properties of the random forcing in the context of the generalised Cantor space and study its associated ideal of null sets and notion of measurability. This issue was also addressed by Shelah ([11, Problem 0.5]) and concerns the definition of a forcing which is $κ^kappa$-bounding, $< κ$-closed and $κ^+$-cc, for $κ$ inaccessible.

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