EUDML | Some classes of countably compact spaces

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Displaying similar documents to “Some classes of countably compact spaces”

Countably compact and pseudocompact products

Norman Noble (1969)

Czechoslovak Mathematical Journal

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The topological product of countably compact spaces

Zdeněk Frolík (1960)

Czechoslovak Mathematical Journal

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On weaker forms of compactness, Lindelöfness, and countable compactness.

Baboolal, D., Backhouse, J., Ori, R.G. (1990)

International Journal of Mathematics and Mathematical Sciences

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Absolute countable compactness of products and topological groups

Yan-Kui Song (1999)

Commentationes Mathematicae Universitatis Carolinae

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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)].