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Keywords:
$\Sigma $-product; C-scattered; Čech-scattered; paracompact; subparacompact; collectionwise normal; shrinking; subshrinking; countable tightness
$\Sigma $-product; C-scattered; Čech-scattered; paracompact; subparacompact; collectionwise normal; shrinking; subshrinking; countable tightness
Summary:
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).
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