On the upper bound of the cardinality of Hausdorff topological spaces

DOI10.1016/j.topol.2023.108651zbMath1523.54008OpenAlexW4385454379MaRDI QIDQ6073660

Ivan S. Gotchev

Publication date: 18 September 2023

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108651

zbMATH Keywords

characterdensitycellularitycardinal inequalitiescardinal functions\(\pi\)-characterLindelöf degree\(\pi\)-weighto-tightness(closed) pseudocharacter\(\theta\)-densitydense o-tightness

Mathematics Subject Classification ID

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

Cites Work

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• Regular \(G_{\delta}\)-diagonals and some upper bounds for cardinality of topological spaces
• The notion of o-tightness and C-embedded subspaces of products
• The Almost Lindelöf Degree
• On the Cardinality of Urysohn Spaces
• Two New Topological Cardinal Inequalities
• On the Cardinality of a Topological Space
• Some Spaces Related to Topological Inequalities Proven by the Erdos-Rado Theorem
• Cardinality of a space containing a dense part of a given cardinality
• Cardinal inequalities with Shanin number and \(\pi\)-character

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