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arXiv 0710.0153math.LOmath.GN
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Ω幂与描述集合论

Omega-powers and descriptive set theory

Dominique Lecomte

摘要:

本文从描述集合论的观点出发,研究了有限字母表上字典可构的无限句子的集合。除此之外,这给出了一些真正的共解析集。字典是有限的情况下进行了研究,并给出了一个自然的例子,一组在水平欧米茄的Wadge层次结构。

英文摘要:

We study the sets of the infinite sentences constructible with a dictionary over a finite alphabet, from the viewpoint of descriptive set theory. Among other things, this gives some true co-analytic sets. The case where the dictionary is finite is studied and gives a natural example of a set at the level omega of the Wadge hierarchy.

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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