A Common Extension of Arhangel’skĭ’s Theorem and the Hajnal–Juhász Inequality

DOI10.4153/S0008439519000420zbMath1437.54004arXiv1907.04344OpenAlexW2964759515MaRDI QIDQ5215658

Santi Spadaro, Angelo Bella

Publication date: 12 February 2020

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04344

zbMATH Keywords

cellularitycardinal invariantLindelöfweakly Lindelöfcardinality boundpiecewise weakly Lindelöf

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (9)

A common extension of Lindelöf, H-closed and ccc ⋮ Cardinal inequalities involving the Hausdorff pseudocharacter ⋮ On cellular-compact and related spaces ⋮ On star-cellular-Lindelöf spaces ⋮ Cardinal estimates involving the weak Lindelöf game ⋮ Cardinality bounds via covers by compact sets ⋮ A survey of cardinality bounds on homogeneous topological spaces ⋮ Compact productivity of Lindelöf-type properties ⋮ Power homogeneous compacta and variations on tightness

Cites Work

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• Arhangel'skiĭ's solution to Alexandroff's problem: a survey
• Infinite games and cardinal properties of topological spaces
• On the Cardinality of Urysohn Spaces
• A THEOREM ON CARDINALITY
• More topological cardinal inequalities
• On cardinality bounds involving the weak Lindelöf degree
• Cardinal Invariants for the $G_\delta $ topology

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