Darboux functions related to generalization of approximately continuity

DOI10.1016/j.topol.2017.04.026zbMath1373.54022OpenAlexW2608218131MaRDI QIDQ530198

Aleksandra Karasińska, Gertruda Ivanova

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.04.026

zbMATH Keywords

porositydensity topologyDarboux propertystrong Świątkowski property

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Singular functions, Cantor functions, functions with other special properties (26A30) Real-valued functions in general topology (54C30)

Related Items

Families of Darboux functions and topology having \((\mathcal{J}^\ast)\)-property ⋮ On some generalization of the notion of continuity. Category case ⋮ \(\mathcal{A}\)-continuity and measure

Cites Work

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• On a generalization of density topologies on the real line
• A category analogue of the density topology, approximate continuity and the approximate derivative
• Set theory. With an introduction to descriptive set theory. Translation of the original Polish edition. 2nd, completely revised ed
• Differentiation of real functions
• On the sums and the products of Darboux cliquish functions
• On small subsets of the space of Darboux functions
• Sums and products of quasi-continuous functions
• A generalization of the density topology with respect to category
• On \(\sigma\)-porous sets in abstract spaces
• On some modification of Darboux property
• On the generalization of density topologies on the real line
• On a subclass of the family of Darboux functions
• On some Modification of Świtąkowski Property
• A category analogue of the density topology
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• On the averages of Darboux functions
• Porous subsets in the space of functions having the Baire property
• On maximally resolvable spaces