Geodesic
Countable products of Čech-scattered supercomplete spaces
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 3, pp. 569-583

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We prove by using well-founded trees that a countable product of supercomplete spaces, scattered with respect to Čech-complete subsets, is supercomplete. This result extends results given in [Alstera], [Friedlera], [Frolika], [HohtiPelantb], [Pelanta] and its proof improves that given in [HohtiPelantb].
Classification : 54B10, 54E15
Keywords: supercomplete; product spaces; Čech-complete; C-scattered; uniform space; paracompact; locally fine 
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     author = {Hohti, Aarno and Ziqiu, Yun},
     title = {Countable products of {\v{C}ech-scattered} supercomplete spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {569--583},
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     volume = {49},
     number = {3},
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     zbl = {1003.54006},
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Hohti, Aarno; Ziqiu, Yun. Countable products of Čech-scattered supercomplete spaces. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 3, pp. 569-583. http://geodesic.mathdoc.fr/item/CMJ_1999__49_3_a9/