\(F\)-net convergence with respect to a closure operator
type: Item
instance of: scholarly article
title: \(F\)-net convergence with respect to a closure operator
zbMATH Open document ID: 1069.18005
author: Josef Šlapal
published in: Applied Categorical Structures
publication date: 2005-06-16T00:00:00Z
review text: The author gives the notion of neighborhood in a category with a closure operator, and then, applies the theory of convergence structures in a general category developed by himself [\textit{J. Šlapal}, ``Convergence structures for categories'', Appl. Categ. Struct. 9, 557--570 (2001; Zbl 1006.18005)] to investigate the net convergence structure on a category with respect to a closure operator. Basic properties of this kind of net convergence structures were studied, including their relationship to notions of separation and compactness.
reviewed by: Dexue Zhang
Mathematics Subject Classification ID: 18B30
Mathematics Subject Classification ID: 18D35
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54D30
Mathematics Subject Classification ID: 06A15
zbMATH DE Number: 2176359
zbMATH Keywords: closure operator
zbMATH Keywords: net
zbMATH Keywords: convergence structure
zbMATH Keywords: neighborhood
zbMATH Keywords: separation
zbMATH Keywords: compactness
MaRDI profile type: Publication
full work available at URL: s10485-004-3883-8
OpenAlex ID: W2139422552
DOI: 10.1007/S10485-004-3883-8
description: scientific article; zbMATH DE number 2176359