Paracompactness of lexicographic products of GO-spaces

DOI10.1016/j.topol.2018.03.004zbMath1390.54035OpenAlexW2790635863WikidataQ130185194 ScholiaQ130185194MaRDI QIDQ1744598

Nobuyuki Kemoto

Publication date: 23 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2018.03.004

zbMATH Keywords

paracompactlexicographic productGO-spaceLOTSordinal subspace

Mathematics Subject Classification ID

Continuous maps (54C05) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Subspaces in general topology (54B05) Product spaces in general topology (54B10)

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The weight of lexicographic products ⋮ Countable compactness of lexicographic products of GO-spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Set theory. An introduction to independence proofs
• Linearly ordered extensions of GO spaces
• Lexicographic products of GO-spaces
• Orthocompactness in products
• Paracompactness in ordered spaces