论文标题
无限noetherian结构II。转言单词和常规子拓扑
Infinitary Noetherian Constructions II. Transfinite Words and the Regular Subword Topology
论文作者
论文摘要
我们表明，在天然拓扑下，跨越单词的空间，即在noetherian空间上的序数字单词也是notherian，我们称为常规子词拓扑。我们表征了它的清醒及其专业顺序，并在其尺寸和身材上给出了上限。
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.
