关于Banach集、Kuratowski集和K-Lusin集的一个定理
On a theorem of Banach and Kuratowski and K-Lusin sets
摘要：
在1929年的一份文件中，巴拿赫和库拉托夫斯基证明，假设连续统假设，一个组合定理，这意味着没有非零的西格玛加性有限措施的真正的线上定义的每一套reals。它将被证明，组合定理是等价的存在的一个K-Lusin集的大小连续和存在这样的集是独立的ZFC加上非CH。
英文摘要：
In a paper of 1929, Banach and Kuratowski proved, assuming the continuum hypothesis, a combinatorial theorem which implies that there is no non-vanishing sigma-additive finite measure on the real line which is defined for every set of reals. It will be shown that the combinatorial theorem is equivalent to the existence of a K-Lusin set of size the continuum and that the existence of such sets is independent of ZFC plus non CH.
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。
