m-TOPOLOGY ON THE RING OF REAL-MEASURABLE FUNCTIONS

DOI10.22044/jas.2020.9557.1470zbMath1468.28001OpenAlexW3200858212MaRDI QIDQ4956468

Darghadam A. Mahmoudi, Ghadir Sadeghi, H. Yousefpour, Ali Akbar Estaji

Publication date: 2 September 2021

Full work available at URL: http://jas.shahroodut.ac.ir/article_2056_ea0b901cccd560776fdc7441db04840b.pdf

zbMATH Keywords

measurable spaceconnected space\(m\)-topologyfirst countable topological spacepseudocompact measurable space

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Real-valued functions in general topology (54C30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compactness, connectedness and countability properties of \(C(X)\) with the \(r\)-topology
• Connectedness and compactness in \(C(X)\) with the \(m\)-topology and generalized \(m\)-topology
• Some properties of algebras of real-valued measurable functions
• Topologies on the space of continuous functions
• Nonnormality or hereditary paracompactness of some spaces of real functions
• Generalized rings of measureable and continuous functions
• The \(m\)-topology on \(C_{m}(x)\) revisited
• Algebras of measurable functions
• Essential Ideals in Rings of Measurable Functions
• Maximal ideals in rings of real measurable functions
• Rings of continuous functions vanishing at infinity on a frame
• Connectedness of some rings of~quotients of $C(X)$ with the $m$-topology
• Rings of Real-Valued Continuous Functions. I

This page was built for publication: m-TOPOLOGY ON THE RING OF REAL-MEASURABLE FUNCTIONS