English

Stone duality of Lawson compact algebraic L-domain

General Topology 2026-02-16 v1

Abstract

In this paper, a subclass of bounded distributive lattices, that is, finitely disjunctive distributive lattices (FDD-lattices) have been introduced. Then we apply it to establish a Stone duality for Lawson compact algebraic L-domains. Furthermore, we develop a dual equivalence between the category of FDD-lattices with lattice homomorphisms and that of Lawson compact algebraic L-domains with spectral maps.

Keywords

Cite

@article{arxiv.2602.12861,
  title  = {Stone duality of Lawson compact algebraic L-domain},
  author = {Huijun Hou and Ao Shen},
  journal= {arXiv preprint arXiv:2602.12861},
  year   = {2026}
}