Locally compact spaces of countable core and Alexandroff compactification

DOI10.1016/j.topol.2005.05.011zbMath1118.54005OpenAlexW1969669546MaRDI QIDQ861944

Alexander V. Arhangel'skii

Publication date: 2 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.05.011

zbMATH Keywords

locally compactcountably compact\(\sigma\)-compactpseudocompactAlexandroff one-point compactificationcompact from insidecountable coreFréchet--Urysohnweakly first countable

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35) Local compactness, (sigma)-compactness (54D45)

Related Items (1)

On a core concept of Arhangel'skiĭ

Cites Work

• \(D\)-spaces and covering properties
• Cardinality of bicompacta with the weak first countability axiom
• G\(_\delta\)-diagonals and metrization theorems
• STRUCTURE AND CLASSIFICATION OF TOPOLOGICAL SPACES AND CARDINAL INVARIANTS
• Symmetrizable, -, and Weakly First Countable Spaces
• A Cardinal Inequality for Topological Spaces Involving Closed Discrete Sets
• On linearly Lindelöf and strongly discretely Lindelöf spaces
• Hereditary D-property of function spaces over compacta
• A note on weak θ-refinability
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