Monotone properties defined from stars of open coverings

DOI10.1016/J.TOPOL.2014.02.034zbMath1376.54025OpenAlexW1965361740MaRDI QIDQ2448752

Strashimir G. Popvassilev, John E. Porter

Publication date: 5 May 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.02.034

zbMATH Keywords

stationary setSorgenfrey linenon-Archimedeansequentially compact\(\omega\)-boundedweak P-point\(\beta\mathbb N\)protometrizablemonotonically star closed-and-discretemonotonically star finiteparacompact GO-space

Mathematics Subject Classification ID

Compactness (54D30) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Compact (locally compact) metric spaces (54E45) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Remainders in general topology (54D40) Base properties of topological spaces (54D70) Separability of topological spaces (54D65)

Related Items (4)

The lexicographically ordered square is not monotonically star-finite ⋮ On monotonically star countably compact spaces ⋮ On monotone paracompactness ⋮ A note on monotonically star Lindelöf spaces

Cites Work

• The Big Bush machine
• The monotone Lindelöf property and separability in ordered spaces
• Countability and star covering properties
• A note on proto-metrisable spaces
• Classes defined by stars and neighbourhood assignments
• Dually discrete spaces
• A note on monotonically metacompact spaces
• Trees and proto-metrizable spaces
• Some properties of the Sorgenfrey line and related spaces
• Star covering properties
• Some more examples of monotonically Lindelöf and not monotonically Lindelöf spaces
• On monotone paracompactness
• Paracompactness in ordered spaces
• A new extension of countable compactness
• Some Examples in Topology
• The Closed Image of a Metrizable Space is M 1
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