The establishment and development of star-Lindelöf spaces

DOI10.1016/j.topol.2020.107341zbMath1454.54002OpenAlexW3046856500MaRDI QIDQ2215679

Zhangyong Cai, Jin Jin Li, Lin, Shou

Publication date: 14 December 2020

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107341

zbMATH Keywords

ZFCcardinal functionstar covering propertystar-Lindelöf number*Lindelöf spacestar-countable space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Cites Work

• Notes on star Lindelöf space
• Spaces with large weak extent
• On paratopological groups
• Remarks on countability and star covering properties
• Star-covering properties: generalized \(\Psi \)-spaces, countability conditions, reflection
• Countability and star covering properties
• Star covering properties in pseudocompact spaces
• Classes defined by stars and neighbourhood assignments
• Some consistent results on *Lindelöfness and calibre
• Some properties of the Sorgenfrey line and related spaces
• A machine producing non-*Lindelöf spaces
• How weak is weak extent?
• Spaces embeddable as regular closed subsets into \(acc\) spaces and (\(a\))-spaces
• Star covering properties
• Discretely star-Lindelöf spaces
• Absolutely strongly star-Menger spaces
• Remarks on selectively (a)-spaces
• Monotonically star compact spaces
• Symmetric \(g\)-functions and cardinal inequalities
• The lexicographically ordered square is not monotonically star-finite
• Submetrizability in semitopological groups
• On two questions on star-Lindelöf spaces
• Each regular paratopological group is completely regular
• Combinatorial Set Theory and Cardinal Function Inequalities
• On the submetrizability number and $i$-weight of quasi-uniform spaces and paratopological groups
• AN ANSWER TO VAN MILL’S QUESTION
• Spaces with large relative extent
• A Strengthened topological cardinal inequality
• The Number of Compact Subsets of a Topological Space
• A Cardinal Inequality for Topological Spaces Involving Closed Discrete Sets
• REMARKS ON ABSOLUTELY STAR-LINDELOF SPACES
• Some remarks on almost star countable spaces
• Weak extent, submetrizability and diagonal degrees
• A NOTE ON SPACES WITH A STRONG RANK 1-DIAGONAL
• A new extension of countable compactness
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