A note on Arhangelskii's inequality
type: Item
instance of: scholarly article
title: A note on Arhangelskii's inequality
zbMATH Open document ID: 0636.54005
author: Shu-Hao Sun
published in: Journal of the Mathematical Society of Japan
publication date: 1987-01-01T00:00:00Z
review text: A well-known method is applied to show that, if X is a Hausdorff space then Shapirovskij's inequality \(| X| \leq \exp (L(X)\cdot \psi (X)\cdot t(X))\) can be improved to \(| X| \leq \exp (qL(X)\cdot S\psi (X)\cdot t(X))\), where qL(X) and \(S\psi\) (X) are quasi-Lindelöf number and a strong pseudocharacter of X, resp.
Mathematics Subject Classification ID: 54A25
zbMATH DE Number: 4036696
zbMATH Keywords: cardinal inequality
zbMATH Keywords: tightness
zbMATH Keywords: quasi-Lindelöf number
zbMATH Keywords: strong pseudocharacter
reviewed by: Mikhail Tkachenko
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/03930363
OpenAlex ID: W2010930679
DOI: 10.2969/JMSJ/03930363
description: scientific article; zbMATH DE number 4036696