Topologies on normed spaces generated by porosity

DOI10.2298/FIL1901335KzbMath1499.54081OpenAlexW2991491083MaRDI QIDQ5080301

Stanislaw Kowalczyk, Małgorzata Turowska

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1901335k

zbMATH Keywords

porosityporouscontinuitymaximal additive classmaximal multiplicative classtopology generated by porosity

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Real-valued functions in general topology (54C30)

Related Items (3)

Topologies generated by symmetric porosity on normed spaces ⋮ On points of porouscontinuity ⋮ On topologies generated by lower porosity

Cites Work

• Unnamed Item
• Porosity, \({\mathcal I}\)-density topology and abstract density topologies
• Porosity and \(\sigma\)-porosity
• Differentiation of real functions
• Topologies generated by porosity and maximal additive and multiplicative families for porouscontinuous functions
• Topologies generated by porosity and strong porosity
• Some properties of porouscontinuous functions
• Compositions of porouscontinuous functions
• On structural properties of porouscontinuous functions

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