潜在Wadge类

摘要：

设$\bfΓ$是Borel类或Borel集的Wadge类，而$2\leq d\leqω$是基数。我们研究了${\mathbb R}^d$的Borel子集，通过在实直线上改进波兰拓扑，可以使之成为$\bfΓ$。这些集合称为潜在$\bfΓ$。我们给出了一个测试来识别潜在的$\bfΓ$集。

英文摘要：

Let $\bfΓ$ be a Borel class, or a Wadge class of Borel sets, and $2\leq d\leqω$ a cardinal. We study the Borel subsets of ${\mathbb R}^d$ that can be made $\bfΓ$ by refining the Polish topology on the real line. These sets are called potentially $\bfΓ$. We give a test to recognize potentially $\bfΓ$ sets.

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。