无穷noether结构2。超限词和规则子词拓扑

Pub Date : 2022-02-10 DOI:10.4064/cm8793-3-2023

J. Goubault-Larrecq, Simon Halfon, Aliaume Lopez

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引用次数: 2

摘要

我们证明了在诺埃尔空间上的超限词的空间，即序索引词的空间，在我们称为正则子词拓扑的自然拓扑下也是诺埃尔的。我们描述了它的升华和专业化排序，并给出了它的维度和高度的上界。

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Infinitary Noetherian constructions II. Transfinite words and the regular subword topology

We show that the spaces of transfinite words, namely ordinal-indexed words, over a Noetherian space, is also Noetherian, under a natural topology which we call the regular subword topology. We characterize its sobrification and its specialization ordering, and we give an upper bound on its dimension and on its stature.

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