Geodesic
$\Sigma $-products of paracompact Čech-scattered spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 127-140 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, we shall discuss $\Sigma $-products of paracompact Čech-scattered spaces and show the following: (1) Let $\Sigma $ be a $\Sigma $-product of paracompact Čech-scattered spaces. If $\Sigma $ has countable tightness, then it is collectionwise normal. (2) If $\Sigma$ is a $\Sigma$-product of first countable, paracompact (subparacompact) Čech-scattered spaces, then it is shrinking (subshrinking).
In this paper, we shall discuss $\Sigma $-products of paracompact Čech-scattered spaces and show the following: (1) Let $\Sigma $ be a $\Sigma $-product of paracompact Čech-scattered spaces. If $\Sigma $ has countable tightness, then it is collectionwise normal. (2) If $\Sigma$ is a $\Sigma$-product of first countable, paracompact (subparacompact) Čech-scattered spaces, then it is shrinking (subshrinking).
Classification : 54B10, 54D15, 54D20, 54G12
Keywords: $\Sigma $-product; C-scattered; Čech-scattered; paracompact; subparacompact; collectionwise normal; shrinking; subshrinking; countable tightness 
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     author = {Tanaka, Hidenori},
     title = {$\Sigma $-products of paracompact {\v{C}ech-scattered} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {127--140},
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Tanaka, Hidenori. $\Sigma $-products of paracompact Čech-scattered spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 127-140. http://geodesic.mathdoc.fr/item/CMUC_2006_47_1_a10/