Absolute countable compactness of products and topological groups
type: Item
instance of: scholarly article
zbMATH Open document ID: 0976.54021
publication date: 2001-12-17T00:00:00Z
full work available at URL: https://eudml.org/doc/121458
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 54D55
zbMATH DE Number: 1682899
zbMATH Keywords: absolutely countably compact spaces
zbMATH Keywords: topological group
MaRDI profile type: Publication
author: Y.-K. Song
title: Absolute countable compactness of products and topological groups
published in: Commentationes Mathematicae Universitatis Carolinae
review text: First, some closed subspaces of \(X\times Y\) are described that are absolutely countably compact (in the sense of \textit{M. V. Matveev} [Topology Appl. 58, No. 1, 81-92 (1994; Zbl 0801.54021)]). Then it is proved that there is a separable, countably compact T\(_2\)-group that is not absolutely countably compact (if \(2^{\omega}<2^{\omega_1}\) and \(2^{\omega_1}\) is sequentially compact, then the group can be constructed sequentially compact).
reviewed by: M. Hušek
description: scientific article; zbMATH DE number 1682899