Topological spaces versus frames in the topos of $M$-sets

In this paper we study topological spaces, frames, and their confrontation in the presheaf topos of $M$-sets for a monoid $M$. We introduce the internalization, of the frame of open subsets for topologies, and of topologies of points for frames, in our universe. Then we find functors between the cat...

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Bibliographic Details
Main Authors: Mojgan Mahmoudi, Amir H. Nejah
Format: Article
Language:English
Published: Shahid Beheshti University 2024-01-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:https://cgasa.sbu.ac.ir/article_104105_8ef864d498af1086a8d29125553460a3.pdf