Topological spaces and quasi-varieties
type: Item
instance of: scholarly article
title: Topological spaces and quasi-varieties
zbMATH Open document ID: 0879.18008
DOI: 10.1007/BF00124116
author: O. Diekmann
published in: Applied Categorical Structures
publication date: 1997-11-21T00:00:00Z
review text: In a previous paper [Cah. Topologie Géom. Différ. Catégoriques 36, No. 1, 3-10 (1995; Zbl 0819.18002)], the authors gave an explicit description of the dual of the category of topological spaces as a quasi-variety, contained in a variety whose members they called grids. They arrived at this description by taking a particular three-point space as an injective cogenerator for the category of spaces. The present paper adds a few footnotes to the earlier one, by considering the descriptions obtained from different choices of the injective cogenerator.
Mathematics Subject Classification ID: 18B30
Mathematics Subject Classification ID: 08C15
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 18C15
Mathematics Subject Classification ID: 54B10
zbMATH DE Number: 1053691
zbMATH Keywords: dual category of topological spaces
zbMATH Keywords: quasi-variety
zbMATH Keywords: injective cogenerator
zbMATH Keywords: category of spaces
zbMATH Keywords: grids
reviewed by: Peter Johnstone
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00124116
OpenAlex ID: W4248285997
description: scientific article; zbMATH DE number 1053691