On the Compactification of Products
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 591-592

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Let {Xa, a ∊ A} be a family of completely regular Hausdorff spaces, {βXa } the corresponding family of their Stone-Čech compactifications and ΠaXa the usual topological product. The following theorem was proved by Glicksberg [2] and subsequently by Frolík [1].
Todd, Christopher. On the Compactification of Products. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 591-592. doi: 10.4153/CMB-1971-109-7
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[1] 1. Frolik, Z., The topological product of two pseudocompact spaces, Czechoslovak Math. J. 10 (1960), 339-349. Google Scholar

[2] 2. Glicksberg, I., Stone-Čech compactifications of products, Trans. Amer. Math. Soc. 90 (1959), 369-382. Google Scholar

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