Remarks on the Menger property of \(C_{p}(X,2)\)

DOI10.1016/j.topol.2019.02.059zbMath1477.54025OpenAlexW2919783728MaRDI QIDQ1738926

Masami Sakai

Publication date: 24 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.02.059

zbMATH Keywords

function spaceGO-spaceMenger propertyprojectively Menger propertyEG-spacesimple space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Products of Menger spaces: A combinatorial approach
• Selective separability of Pixley-Roy hyperspaces
• The projective Menger property and an embedding of \(S_{\omega}\) into function spaces
• The Rothberger property on \(C_p(X,2)\)
• On some generalizations of compactness in spaces \(C_p(X,2)\) and \(C_p(X,\mathbb Z)\)
• The Menger property on \(C_p(X, 2)\)
• Projective versions of selection principles
• The combinatorics of open covers. II
• Some observations on filters with properties defined by open covers
• A non-archimedean Dugundji extension theorem