Cardinalities of some Lindelöf and \(\omega_1\)-Lindelöf \(T_1/T_2\)-spaces
type: Item
instance of: scholarly article
title: Cardinalities of some Lindelöf and \(\omega_1\)-Lindelöf \(T_1/T_2\)-spaces
zbMATH Open document ID: 1059.54005
author: Raushan Z. Buzyakova
published in: Topology and its Applications
publication date: 2004-10-01T00:00:00Z
review text: Bounds on the cardinality of a space and on its Lindelöf number are considered. The main results are that if \(X\) has countable tightness and countable pseudocharacter then \(| X| \leq{\mathfrak c}\) if either \(X\) is Lindelöf, paracompact and T\(_1\) or \(X\) is \(\omega_1\)-Lindelöf and realcompact, and \(| X| \leq2^{\mathfrak c}\) if \(X\) is first countable, T\(_2\) and \(\omega_1\)-Lindelöf. A number of relevant questions are asked.
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54D10
zbMATH DE Number: 2104481
zbMATH Keywords: \(\omega_1\)-Lindelöf
zbMATH Keywords: Lindelöf
zbMATH Keywords: pseudocharacter
zbMATH Keywords: tightness
reviewed by: David B. Gauld
MaRDI profile type: Publication
full work available at URL: j.topol.2004.02.017
OpenAlex ID: W2051392874
cites work: Q5585136
cites work: On linearly Lindelöf and strongly discretely Lindelöf spaces
cites work: Q3472092
cites work: Q4416774
cites work: Q3994935
cites work: Q3896205
DOI: 10.1016/J.TOPOL.2004.02.017
description: scientific article; zbMATH DE number 2104481