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Article Dans Une Revue Colloquium Mathematicum Année : 2023

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

Résumé

We show that the spaces of transfinite words, namely ordinalindexed 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 sobrification rank and on its stature.
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hal-04283731 , version 1 (14-11-2023)

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Jean Goubault-Larrecq, Simon Halfon, Aliaume Lopez. Infinitary Noetherian Constructions II. Transfinite Words and the Regular Subword Topology. Colloquium Mathematicum, 2023, 173 (2), pp.227-250. ⟨10.4064/cm8793-3-2023⟩. ⟨hal-04283731⟩
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