关于Egoroff定理的广义陈述与ZFC的独立性,根据T.Weiss
On the independence of a generalized statement of Egoroff's theorem from ZFC, after T.Weiss
摘要:
我们考虑了实分析中著名的Severini-Egoroff定理的一个推广版本(GES),该定理首先由Tomasz Weiss在ZFC中证明是不可判定的.这种独立性很容易从对连续统的一些基数特征(如b和o)的适当假设中推导出来,后者是具有完整外部测度的[0,1]子集的最小基数。
英文摘要:
We consider a generalized version (GES) of the wellknown Severini-Egoroff theorem in real analysis, first shown to be undecidable in ZFC by Tomasz Weiss. This independence is easily derived from suitable hypotheses on some cardinal characteristics of the continuum like b and o, the latter being the least cardinality of a subset of [0,1] having full outer measure.
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。