Topology Proceedings
Document # baal-16
Topology Proceedings 26 No. 1 (2001-2002), pp. 199-212 |
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\Sigma-products of paracompact DC-like spaces
Jun Hanaoka and Hidenori Tanaka
In this paper, we shall discuss \Sigma-products of paracompact
DC-like spaces and show the following: (1) Let \Sigma be a
\Sigma-product of paracompact DC-like spaces. If \Sigma
has countable tightness, then it is collectionwise normal; (2) If \Sigma
is a \Sigma-product of first countable, paracompact (subparacompact)
DC-like spaces, then it is shrinking (subshrinking).
Keywords: \Sigma-product, DC-like, C-scattered,
paracompact, collectionwise normal, shrinking, subshrinking, countable
tightness
Mathematics Subject Classification: 54B10 54D15 54D20 54G12
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Topology Proceedings,
Volume 26 No. 1 (2001-2002)
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Date: November 1, 2002.