Year: 2025
Type: article
Abstract: In this paper, we introduce the concept of S-closure spaces and demonstrate that they precisely generate stably continuous semilattices. Additionally, we define the notion of S-morphisms between S-closure spaces to represent Scott continuous functions between stably continuous semilattices. These developments establish an equivalence between the category of stably continuous semilattices and the category of S-closure spaces with S-morphisms as the morphisms. This result provides a method for representing stably continuous semilattices through the framework of closure spaces.
Source: AIMS Mathematics
DOI: 10.3934/math.2025781
Author: Lingjuan Yao
Institution: Lanzhou Jiaotong University
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
OpenAlex ID: W4412822616