Small diagonals and cardinal invariants

DOI10.1016/J.TOPOL.2019.106838zbMath1429.54033OpenAlexW2968598639WikidataQ127399541 ScholiaQ127399541MaRDI QIDQ2324547

Yan-Kui Song, Wei-Feng Xuan

Publication date: 11 September 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.106838

zbMATH Keywords

homogeneous\(G_\delta\)-diagonalDCCCalmost disjoint familyregular \(G_\delta\)-diagonal\(\omega_1\)-splitting diagonal

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Cites Work

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• Monotone normality and paracompactness
• Spaces having a small diagonal
• Small diagonal of \(X\) and calibers of \(C_{p}(X)\)
• Cardinalities of weakly Lindelöf spaces with regular \(G_{\kappa}\)-diagonals
• Cardinalities of ccc-spaces with regular \(G_{\delta}\)-diagonals
• Concerning semi-stratifiable spaces
• Spaces with regular \(G_ \delta\)-diagonals
• Weak extent, submetrizability and diagonal degrees
• On completely regular spaces

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