A generalization of topology of uniform convergence on \(C(X)\)

DOI10.1016/j.topol.2022.108041zbMath1491.54020OpenAlexW4211066452MaRDI QIDQ2670101

Sudip Kumar Acharyya, Soumyadip Acharyya, Rakesh Bharati, Atasi Deb Ray

Publication date: 10 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108041

zbMATH Keywords

\(P\)-space\(z\)-ideal\(U_I\)-topologyequivalence classes of \(z\)-idealsGelfand-Kolmogoroff theoremmaximal subset of \(\beta X\)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Algebraic properties of function spaces in general topology (54C40)

Cites Work

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• Connectedness and compactness in \(C(X)\) with the \(m\)-topology and generalized \(m\)-topology
• Closed l-ideals in a class of lattice-ordered algebras
• Functions with pseudocompact support
• On a class of subalgebras of C(X) with applications to βX\X
• Supports of Continuous Functions

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