Infinitary Noetherian constructions I. Infinite words
Volume 168 / 2022
Colloquium Mathematicum 168 (2022), 257-286
MSC: Primary 54G99; Secondary 06A07.
DOI: 10.4064/cm8077-4-2021
Published online: 3 January 2022
Abstract
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.
