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arXiv 0710.0133math.LOmath.GN
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势阱类与局部均匀化理论

Classes de Wadge potentielles et théorèmes d'uniformisation partielle

Dominique Lecomte

摘要:

我们想给一个建设尽可能简单的一个Borel子集的产品两个波兰空间。这引入了潜在Wadge类的概念。除此之外,我们研究了非潜在的闭集,通过证明Hurewicz的结果。这导致部分一致化定理,在大集,在基数或Baire范畴的意义。

英文摘要:

We want to give a construction as simple as possible of a Borel subset of a product of two Polish spaces. This introduces the notion of potential Wadge class. Among other things, we study the non-potentially closed sets, by proving Hurewicz-like results. This leads to partial uniformization theorems, on big sets, in the sense of cardinality or Baire category.

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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