On the cardinality of almost discretely Lindelöf spaces

DOI10.1007/s00605-017-1112-4zbMath1398.54008arXiv1611.07267OpenAlexW2552178040MaRDI QIDQ1647821

Angelo Bella, Santi Spadaro

Publication date: 27 June 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07267

zbMATH Keywords

Lindelöf spacefree sequenceelementary submodeldiscrete setcardinal inequalityArhangel'skii theoremleft-separated setright-separated set

Mathematics Subject Classification ID

Sequential spaces (54D55) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items

First countable almost discretely Lindelöf \(T_{3}\) spaces have cardinality at most continuum, On cellular-compactness and related properties, Unnamed Item, When is a cellular-countably-compact space, countably compact?, Cardinal inequalities involving the Hausdorff pseudocharacter, On cellular-compact and related spaces, Productivity of cellular-Lindelöf spaces, On cellular-Lindelöf spaces, On star-cellular-Lindelöf spaces, Unnamed Item, Cardinal invariants of cellular-Lindelöf spaces, Remarks on weakly linearly Lindelöf spaces, Further results on cellular-Lindelöf spaces, Notes on selectively 2-star-ccc spaces, Compact productivity of Lindelöf-type properties

Cites Work

• Cardinal inequalities for topological spaces involving the weak Lindelöf number
• Arhangel'skiĭ's solution to Alexandroff's problem: a survey
• On the Cardinality of Urysohn Spaces
• 𝐻-closed topological spaces
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