Some criteria for \(C_p(X)\) to be an \(L\Sigma(\leq\omega)\)-space

DOI10.1216/RMJ-2013-43-1-373zbMath1273.54023OpenAlexW2009352700MaRDI QIDQ1951363

Vladimir V. Tkachuk

Publication date: 5 June 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1370267195

zbMATH Keywords

function spacecosmic spaceLindelöf \(\Sigma\)-space\(L\Sigma (\leq \omega)\)-space\(L\Sigma(< \omega)\)-spaceupper-semicontinuous map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Structure of general topological groups (22A05) Function spaces in general topology (54C35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological groups (topological aspects) (54H11) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) ``(P)-minimal and ``(P)-closed spaces (54D25)

Related Items

Hereditarily monotonically Sokolov spaces have countable network weight ⋮ Lindelöf \(\Sigma\)-spaces: an omnipresent class

Cites Work

• \(L\Sigma (\leq\,\omega)\)-spaces and spaces of continuous functions
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• Behavior of the Lindelöf \(\Sigma\)-property in iterated function spaces
• Spaces of functions in the topology of pointwise convergence: Hewitt extension and \(\tau\)-continuous functions
• A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
• On some classes of Lindelöf \(\Sigma\)-spaces
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