paper

Infinitary Noetherian Constructions I. Infinite Words

arXiv:1910.10054

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.

32 pages, submitted to Colloquium Mathematicum; fixed a bug in proof of Proposition 5.16