Precalibers, monolithic spaces, first countability, and homogeneity in the class of compact spaces

DOI10.1016/j.topol.2007.04.025zbMath1155.54005OpenAlexW2077447091MaRDI QIDQ952617

Alexander V. Arhangel'skii

Publication date: 12 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.04.025

zbMATH Keywords

densitytightnesshomogeneous spaceweightSouslin numberprecaliber\(\pi\)-charactermonolithic space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Separability of topological spaces (54D65)

Related Items (5)

BOUNDING THE MINIMUM ORDER OF Aπ-BASE ⋮ On topological groups with a first-countable remainder. II. ⋮ The projective $\pi $-character bounds the order of a $\pi $-base ⋮ Projective versions of selection principles ⋮ Unnamed Item

Cites Work

• A new bound on the cardinality of homogeneous compacta
• MAPS ONTO TIKHONOV CUBES
• Homogeneity in powers of zero-dimensional first-countable spaces
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