arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0905.4875math.LOmath.CTmath.GN
收藏

How can we recognize potentially ${\bfΠ}^0_ξ$ subsets of the plane?

Dominique Lecomte

英文摘要:

Let $ξ\geq 1$ be a countable ordinal. We study the Borel subsets of the plane that can be made ${\bfΠ}^0_ξ$ by refining the Polish topology on the real line. These sets are called potentially ${\bfΠ}^0_ξ$. We give a Hurewicz-like test to recognize potentially ${\bfΠ}^0_ξ$ 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。

↑