<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Strict monadic topology II: Descent for closure spaces |
Publication Date: | 2023-10-08 |
Authors: |
- George Janelidze
- Manuela Sobral |
Abstract: | By a closure space we will mean a pair (A,\( \mathscr C \)), in which A is a set and \( \mathscr C \) a set of subsets of A closed under arbitrary intersections. The purpose of this paper is to initiate a development of descent theory of closure spaces, with our main results being: (a) characterization of descent morphisms of closure spaces; (b) in the category of finite closure spaces every descent morphism is an effective descent morphism; (c) every surjective closed map and every surjective open map of closure spaces is an effective descent morphism. |
Institution: | DMUC 23-31 |
Online version: | http://www.mat.uc.pt...prints/eng_2023.html |
Download: | Not available |