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arXiv 2105.03335math.LO
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有效楔子层次的非崩溃

Non-Collapse of the Effective Wadge Hierarchy

Victor Selivanov

摘要:

我们研究了最近提出的有效Wadge层次的有效空间,集中在非崩溃的性质。随着层次的集合,我们研究层次的$k$ -分区是有趣的自己。特别地,我们建立了有效Wadge族不崩溃的充分条件,并将其应用到一些具体的空间。

英文摘要:

We study the recently suggested effective Wadge hierarchy in effective spaces, concentrating on the non-collapse property. Along with hierarchies of sets, we study hierarchies of $k$-partitions which are interesting on their own. In particular, we establish sufficient conditions for the non-collapse of the effective Wadge hierarchy and apply them to some concrete spaces.

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。

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