Stone duality of Lawson compact algebraic L-domain
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918336591298560 |
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| author | Hou, Huijun Shen, Ao |
| author_facet | Hou, Huijun Shen, Ao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12861 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stone duality of Lawson compact algebraic L-domain Hou, Huijun Shen, Ao General Topology 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. |
| title | Stone duality of Lawson compact algebraic L-domain |
| topic | General Topology |
| url | https://arxiv.org/abs/2602.12861 |