Order-convergence and lim-inf \(\mathcal M\)-convergence in posets
type: Item
instance of: scholarly article
title: Order-convergence and lim-inf \(\mathcal M\)-convergence in posets
zbMATH Open document ID: 1116.06007
author: Bin Zhao
author: Yihui Zhou
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: The authors give some elementary sufficient conditions for order convergence to be topological in complete lattices and posets. They also consider a general notion of lim-inf convergence for families of sets \(\mathcal M\) more general than the family of directed sets and again give conditions for this convergence to be topological.
Mathematics Subject Classification ID: 06B35
Mathematics Subject Classification ID: 06F30
zbMATH DE Number: 5078955
zbMATH Keywords: order convergence
zbMATH Keywords: \(\mathcal M\)-continuous poset
zbMATH Keywords: lim-inf convergence
reviewed by: Jimmie D. Lawson
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.02.016
OpenAlex ID: W1990366481
cites work: Q5331549
cites work: Topology in Lattices
cites work: Order-Preserving Maps and Integration Processes. (AM-31)
cites work: Lim-inf convergence in partially ordered sets
cites work: Continuous Lattices and Domains
cites work: Q3226265
cites work: Q3835506
cites work: Q4952115
cites work: Q3824458
DOI: 10.1016/J.JMAA.2006.02.016
description: scientific article; zbMATH DE number 5078955