Infinitary Noetherian constructions I. Infinite words

Jean Goubault-Larrecq
2022 Colloquium Mathematicum  
We define and study Noetherian topologies for spaces of infinite sets and for spaces of infinite words. In each case, we also obtain S-representations, namely, computable presentations of the sobrifications of those spaces.
doi:10.4064/cm8077-4-2021 fatcat:a2pmkj352zfnxjj5qsox2fw5uq