Compactness, connectedness and countability properties of \(C(X)\) with the \(r\)-topology

DOI10.1007/s10474-015-0509-6zbMath1374.54021OpenAlexW631141751MaRDI QIDQ519917

A. R. Salehi, F. Azarpanah, M. Paimann

Publication date: 31 March 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0509-6

zbMATH Keywords

component\(\sigma\)-compact\(r\)-topologyalmost \(P\)-spacehemicompactquasi componenttotally disconnected space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Algebraic properties of function spaces in general topology (54C40)

Related Items (2)

Computation of depth in \(C(X)\) ⋮ m-TOPOLOGY ON THE RING OF REAL-MEASURABLE FUNCTIONS

Cites Work

• Connectedness and compactness in \(C(X)\) with the \(m\)-topology and generalized \(m\)-topology
• Topologies on the space of continuous functions
• Nonnormality or hereditary paracompactness of some spaces of real functions
• The \(m\)-topology on \(C_{m}(x)\) revisited
• Almost-P-Spaces
• Functions with pseudocompact support
• A Compact Hausdorff Space Without P-Points in Which G δ -Sets Have Interior
• Rings of Real-Valued Continuous Functions. I
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