Characterization of posets for liminf convergence being topological
type: Item
instance of: scholarly article
title: Characterization of posets for liminf convergence being topological
zbMATH Open document ID: 1496.06006
author: Yanyan Li
published in: Topology and its Applications
publication date: 2021-03-09T00:00:00Z
review text: In this paper, the authors supply an example to illustrate that a dcpo in which the liminf convergence is topological may not be continuous, and proved that a poset is continuous if and only if it is meet continuous and the liminf convergence is topological and the Lawson topology equals the liminf topology. In particular, the authors obtain a complete characterization of posets for the liminf convergence being topological. These results are interesting and extend the framework of domain theory.
reviewed by: Wenfeng Zhang
Mathematics Subject Classification ID: 06B35
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 7318669
zbMATH Keywords: liminf convergence
zbMATH Keywords: exact poset
zbMATH Keywords: weak* continuity
MaRDI profile type: Publication
full work available at URL: j.topol.2021.107615
OpenAlex ID: W3127928346
cites work: Lim-inf convergence in partially ordered sets
cites work: Weak domain models of \(T_1\) spaces
cites work: Continuous Lattices and Domains
cites work: Non-Hausdorff Topology and Domain Theory
cites work: Q3226265
cites work: Q5440715
cites work: Meet continuity properties of posets
DOI: 10.1016/J.TOPOL.2021.107615
description: scientific article; zbMATH DE number 7318669