Images of the countable ordinals

DOI10.1016/j.topol.2017.02.067zbMath1372.54027OpenAlexW2590290014MaRDI QIDQ2400897

David J. Lutzer, Sheldon W. Davis, Harold R. Bennett

Publication date: 30 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.02.067

zbMATH Keywords

compactlocally compactparacompactmetrizablemonotonically normalscatteredcountable ordinalsmonotonically normal compactification\(\sigma\)-minimal basecompact Hausdorff space with cardinality \(\aleph_1\)continuous images of the countable ordinalsJuhasz-Szentmiklossy theoremsmall diagonals

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Sequential spaces (54D55) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Pathological topological spaces (54G15) Quotient spaces, decompositions in general topology (54B15) Scattered spaces (54G12)

Cites Work

• Orderability of all noncompact images
• Set theory. An introduction to independence proofs
• On perfect images of ordinals
• Hereditarily normal extensions.
• On stratifiable spaces
• Every compact $T_5$ sequential space is Fréchet
• Certain hereditary properties and metrizability in generalized ordered spaces
• Convergent Free Sequences in Compact Spaces
• Paracompactness in ordered spaces
• Compact G-Souslin Sets are G δ 's
• Monotonically Normal Spaces
• Monotone normality
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