Some counterexamples and properties on generalizations of Lindelöf spaces
type: Item
instance of: scholarly article
title: Some counterexamples and properties on generalizations of Lindelöf spaces
zbMATH Open document ID: 0860.54033
DOI: 10.1155/S0161171296001020
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1997-04-21T00:00:00Z
full work available at URL: https://eudml.org/doc/47631
review text: An investigation of several generalizations of the notion of Lindelöf space (weakly Lindelöf, almost-Lindelöf and nearly-Lindelöf) are continued. In particular, some counterexamples are constructed to show that the generalizations are proper. Besides, it is introduced (based on the notion of quasi-regular open subset) and studied a new generalization of Lindelöf spaces -- the almost regular Lindelöf spaces.
Mathematics Subject Classification ID: 54G20
Mathematics Subject Classification ID: 54D20
zbMATH DE Number: 930051
zbMATH Keywords: almost Lindelöf
zbMATH Keywords: weakly Lindelöf
zbMATH Keywords: nearly Lindelöf
zbMATH Keywords: almost-regular space
zbMATH Keywords: regular cover
zbMATH Keywords: Lindelöf space
author: F. Cammaroto
author: Gracia Santoro
MaRDI profile type: Publication
Wikidata QID: Q124799239
description: scientific article; zbMATH DE number 930051