BOUNDING THE MINIMUM ORDER OF Aπ-BASE

DOI10.1017/S0004972710001966zbMath1220.54004OpenAlexW2161183697MaRDI QIDQ3169353

María Muñoz Guillermo

Publication date: 28 April 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710001966

zbMATH Keywords

\(\pi\)-basetightness\(\pi\)-characterNagami index\(\pi\)-separating weight

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Base properties of topological spaces (54D70)

Cites Work

• Unnamed Item
• Precalibers, monolithic spaces, first countability, and homogeneity in the class of compact spaces
• Free sequences
• The projective $\pi $-character bounds the order of a $\pi $-base
• Cardinal invariants in compact Hausdorff spaces
• First countable spaces without point-countable π-bases
• Point-countable π-bases in first countable and similar spaces

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