Normal covers of infinite products and normality of \(\sigma\) -products

DOI10.1016/J.TOPOL.2006.02.004zbMath1109.54010OpenAlexW2011136349MaRDI QIDQ857039

Yukinobu Yajima

Publication date: 14 December 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.02.004

zbMATH Keywords

product\(\Sigma\)-space\(M\)-spaceparacompactnormal cover\(\beta\)-space

Mathematics Subject Classification ID

(p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10)

Related Items (3)

Normal covers of various products ⋮ Certain sequences with compact closure ⋮ Equalities for the extent of infinite products and \(\varSigma\)-products

Cites Work

• The shrinking property of \(\Sigma\)-products
• On \(\Sigma\)-products of semi-stratifiable spaces
• Some nonnormal \(\Sigma\)-products
• Base-normality and product spaces
• The notion of o-tightness and C-embedded subspaces of products
• Dimension of infinite topological products
• Base-paracompact spaces.
• Characterizations of normal covers of rectangular products
• Moore spaces and \(w\delta\)-spaces
• On Σ-products of Σ-spaces
• Paracompactness and product spaces
• On the Dimension of Limits of Inverse Systems
• Σ-spaces
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