On linear neighborhood assignments and dually discrete spaces
type: Item
instance of: scholarly article
title: On linear neighborhood assignments and dually discrete spaces
zbMATH Open document ID: 1149.54015
author: Liang-Xue Peng
published in: Topology and its Applications
publication date: 2008-09-23T00:00:00Z
review text: In this paper the concept of a linear neighborhood assignment is introduced. It is shown that every Lindelöf space is a linear \(D\)-space, and every generalized ordered space is dually discrete, which gives a positive answer to a question posed by Buzyakova, Tkachuk and Wilson.
Mathematics Subject Classification ID: 54F05
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54G12
zbMATH DE Number: 5346288
zbMATH Keywords: \(D\)-space
zbMATH Keywords: linear \(D\)-space
zbMATH Keywords: generalized ordered space
zbMATH Keywords: dually discrete space
reviewed by: Shou Lin
MaRDI profile type: Publication
full work available at URL: j.topol.2008.06.005
OpenAlex ID: W2079706504
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DOI: 10.1016/J.TOPOL.2008.06.005
description: scientific article; zbMATH DE number 5346288