Paracompactness and the Lindelöf property in countable products

DOI10.1016/j.topol.2002.12.002zbMath1065.54013OpenAlexW2006960817MaRDI QIDQ1763581

Hidenori Tanaka, Eriko Aoki, Naoko Mori

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.topol.2002.12.002

zbMATH Keywords

perfect spaceLindelöf spaceparacompact spaceC-scattered topological spaceČech-scattered topological spacescattered topological space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Scattered spaces (54G12)

Cites Work

• Unnamed Item
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• A Note on Michael's Problem Concerning the Lindelof Property in the Cartesian Products
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• Generalizations of the $G_\delta$-property of complete metric spaces
• On Michael's problem concerning the Lindelöf property in the Cartesian products
• On the product of a perfect paracompact space and a countable product of scattered paracompact spaces
• A note on Hausdorff spaces with the star-finite property, II
• Spaces defined by topological games
• A class of spaces whose Cartesian product with every hereditarily Lindelöf space in Lindelöf
• Countable Products of Čech-scattered supercomplete spaces
• C-scattered and paracompact spaces

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