Infinitary Noetherian Constructions I. Infinite Words
General Topology
2021-03-23 v3
Abstract
We define and study Noetherian topologies for spaces of infinite sets, and infinite words. In each case, we also obtain S-representations, namely, computable presentations of the sobrifications of those spaces.
Cite
@article{arxiv.1910.10054,
title = {Infinitary Noetherian Constructions I. Infinite Words},
author = {Jean Goubault-Larrecq},
journal= {arXiv preprint arXiv:1910.10054},
year = {2021}
}
Comments
32 pages, submitted to Colloquium Mathematicum; fixed a bug in proof of Proposition 5.16