Abstract
In this paper, we propose the lower topological poset models of T1 topological spaces. A lower topological poset model of a T1 space X is a poset P such that X is homeomorphic to Maxω(P), where Maxω(P) means the set of all maximal points of P equipped with the relative lower topology on P. We show that: (1) Every T1 space X has a lower topological poset model P which is bounded complete algebraic. (2) A topological space has a lower topological dcpo model if and only if it has a lower topological local dcpo model. Alongside our discussion, we also investigate some topological properties such as sobriety and well-filteredness of the lower topology on posets.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
