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MR982236 54B10 (03E50 22A05 22C05 54D30 54G20)
Hart, Klaas Pieter; van Mill, Jan A countably compact topological group $H$ such that $H\times H$ is not countably compact. Trans. Amer. Math. Soc. 323 (1991), no. 2, 811–821.
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