Geodesic
Covering properties in countable products, II
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 3, pp. 491-502.

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In this paper, we discuss covering properties in countable products of Čech-scattered spaces and prove the following: (1) If $Y$ is a perfect subparacompact space and $\{X_n : n\in \omega \}$ is a countable collection of subparacompact Čech-scattered spaces, then the product $Y\times \prod_{n\in \omega }X_n$ is subparacompact and (2) If $\{X_n : n\in \omega \}$ is a countable collection of metacompact Čech-scattered spaces, then the product $\prod_{n\in \omega }X_n$ is metacompact.
Classification : 54B10, 54D15, 54D20, 54G12
Keywords: countable product; C-scattered; Čech-scatterd; subparacompact; metacompact 
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Higuchi, Sachio; Tanaka, Hidenori. Covering properties in countable products, II. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 3, pp. 491-502. http://geodesic.mathdoc.fr/item/CMUC_2006__47_3_a11/