Properties related to star countability and star finiteness

DOI10.1016/J.TOPOL.2017.02.021zbMath1376.54023OpenAlexW2586544273MaRDI QIDQ2400881

Ofelia Teresa Alas, Richard G. Wilson

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.2017.02.021

zbMATH Keywords

feebly compact spacealmost star countableweakly star countablestar countable space1-cl-star-Lindelöf space1-cl-starcompact spacestar finite spaceweakly star finite

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (6)

On properties related to star countability ⋮ Star countable subspaces in products of ordinals ⋮ Unnamed Item ⋮ On almost star σ-compact spaces ⋮ Quasitopological groups, covering properties and cardinal inequalities ⋮ Notes on selectively 2-star-ccc spaces

Cites Work

• On the extent of star countable spaces
• On properties similar to pseudocompactness and countable compactness
• Classes defined by stars and neighbourhood assignments
• Constructing regular 2-starcompact spaces that are not strongly 2-star- Lindelöf
• Maximal feebly compact spaces
• Star covering properties
• A pseudocompact space in which only the sets of incomplete cardinality are not closed and not discrete
• Some remarks on almost star countable spaces
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