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].
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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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/

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