Song, Y.-K. Absolute countable compactness of products and topological groups. (English) Zbl 0976.54021 Commentat. Math. Univ. Carol. 40, No. 2, 367-372 (1999). First, some closed subspaces of \(X\times Y\) are described that are absolutely countably compact (in the sense of 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). Reviewer: Miroslav Hušek (Praha) MSC: 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54B10 Product spaces in general topology 54H11 Topological groups (topological aspects) 54D55 Sequential spaces Keywords:absolutely countably compact spaces; topological group Citations:Zbl 0801.54021 PDF BibTeX XML Cite \textit{Y. K. Song}, Commentat. Math. Univ. Carol. 40, No. 2, 367--372 (1999; Zbl 0976.54021) Full Text: EuDML OpenURL