Infinitary Noetherian constructions II. Transfinite words and the regular subword topology
Jean Goubault-Larrecq, Simon Halfon, Aliaume Lopez · Colloquium Mathematicum · 2023
We show that the space of transfinite words, that is, 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