Hidenori Tanaka
$\Sigma $-products of paracompact \v {C}ech-scattered spaces

Comment.Math.Univ.Carolinae 47,1 (2006) 127-140.

Abstract:In this paper, we shall discuss $\Sigma $-products of paracompact \v {C}ech-scattered spaces and show the following: (1) Let $\Sigma $ be a $\Sigma $-product of paracompact \v {C}ech-scattered spaces. If $\Sigma $ has countable tightness, then it is collectionwise normal. (2) If $\Sigma $ is a $\Sigma $-product of first countable, paracompact (subparacompact) \v {C}ech-scattered spaces, then it is shrinking (subshrinking).

Keywords: $\Sigma $-product, C-scattered, \v {C}ech-scattered, paracompact, subparacompact, collectionwise normal, shrinking, subshrinking, countable tightness
AMS Subject Classification: Primary 54B10, 54D15, 54D20, 54G12

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