The product of two countably compact topological groups
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 by Eric K. van Douwen PDF
 Trans. Amer. Math. Soc. 262 (1980), 417427 Request permission
Abstract:
We use MA ( = Martin’s Axiom) to construct two countably compact topological groups whose product is not countably compact. To this end we first use MA to construct an infinite countably compact topological group which has no nontrivial convergent sequences.References

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Additional Information
 © Copyright 1980 American Mathematical Society
 Journal: Trans. Amer. Math. Soc. 262 (1980), 417427
 MSC: Primary 22A05; Secondary 03E50, 54A35, 54D30
 DOI: https://doi.org/10.1090/S00029947198005867258
 MathSciNet review: 586725