Infinitary Noetherian Constructions I. Infinite Words
Jean Goubault-Larrecq
TL;DR
This paper introduces Noetherian topologies for spaces of infinite sets and words, providing computable representations of their sobrifications, advancing understanding of their structural properties.
Contribution
It develops Noetherian topologies for infinite words and sets, along with S-representations, offering new tools for their analysis.
Findings
Established Noetherian topologies for infinite words and sets
Constructed computable sobrification representations
Enhanced structural understanding of infinite topological spaces
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.
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