Regular \(G_{\delta}\)-diagonals and some upper bounds for cardinality of topological spaces

DOI10.1007/s10474-016-0614-1zbMath1399.54024arXiv1506.04665OpenAlexW2963989269MaRDI QIDQ1701328

Vladimir V. Tkachuk, Mikhail G. Tkachenko, Ivan S. Gotchev

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04665

zbMATH Keywords

cardinal function\(\pi\)-character\(\pi\)-weight\(o\)-tightnessalmost Lindelöf numberdense \(o\)-tightnessregular diagonalweakly Lindelöf number

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 (4)

On the upper bound of the cardinality of Hausdorff topological spaces ⋮ Cardinal inequalities with Shanin number and \(\pi\)-character ⋮ New bounds on the cardinality of Hausdorff spaces and regular spaces ⋮ Cardinality bounds via covers by compact sets

Cites Work

• Contractibility of topological spaces onto metric spaces
• The notion of o-tightness and C-embedded subspaces of products
• Cardinalities of ccc-spaces with regular \(G_{\delta}\)-diagonals
• Arhangel'skiĭ's solution to Alexandroff's problem: a survey
• The Almost Lindelöf Degree
• On the Cardinality of Urysohn Spaces
• On the Cardinality of a Topological Space
• A Cardinal Inequality for Topological Spaces Involving Closed Discrete Sets
• A consistency result concerning hereditarily α-Lindelöf spaces
• Lindelöf powers and products of function spaces
• Weak extent, submetrizability and diagonal degrees
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