On the amnestic modification of the category of state property systems
type: Item
instance of: scholarly article
title: On the amnestic modification of the category of state property systems
zbMATH Open document ID: 1021.54001
DOI: 10.1023/A:1020501521418
author: Diederik Aerts
author: Ann Van der Voorde
author: Bart Van Steirteghem
author: Eva Colebunders
published in: Applied Categorical Structures
publication date: 2003-04-03T00:00:00Z
review text: A state property system is a triple consisting of a set of states, a complete lattice of properties and a specified function linking the other two components. In this paper the authors give an isomorphic description of the category of state property systems, thus introducing a category \textbf{SP} which is concrete over \textbf{Set}. This isomorphic description enables them to investigate further categorical properties of \textbf{SP}. Their main theorem says that the amnestic modification of \textbf{SP} is the construct \textbf{Cls} of closure spaces and continuous maps.
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 18B30
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 81P05
zbMATH DE Number: 1892228
zbMATH Keywords: closure space
zbMATH Keywords: state property system
zbMATH Keywords: amnestic modification
reviewed by: Maximilian Ganster
MaRDI profile type: Publication
Wikidata QID: Q58147551
description: scientific article; zbMATH DE number 1892228