Abstract:In this paper, we generalize Vaughan's and Bonanzinga's results on absolute countable compactness of product spaces and give an example of a separable, countably compact, topological group which is not absolutely countably compact. The example answers questions of Matveev [8, Question 1] and Vaughan [9, Question (1)].
Keywords: compact, countably compact, absolutely countably compact, hereditarily absolutely countably compact, topological group
AMS Subject Classification: 54D20, 54B10, 54D55