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arXiv · 2202.05047

Infinitary Noetherian Constructions II. Transfinite Words and the Regular Subword Topology

Jean Goubault-Larrecq·Simon Halfon·Aliaume Lopez
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Abstract

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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Jean Goubault-Larrecq, Simon Halfon, Aliaume Lopez. 2022-02-10. Infinitary Noetherian Constructions II. Transfinite Words and the Regular Subword Topology. https://arxiv.org/abs/2202.05047

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