Various continuities with the density, \(\mathcal I\)-density and ordinary topologies on \(\mathbb{R}\)

zbMath0757.26005MaRDI QIDQ1189084

Lee Larson, Krzysztof Chris Ciesielski

Publication date: 26 September 1992

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

analytic functionsdensity topologyrangecontinuous real functionsBaire 1 functions\(C^ \infty\)-functions\(I\)- density topologyBaire*1 functionsdeep \(I\)-density topologyordinary topology

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) (C^infty)-functions, quasi-analytic functions (26E10) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (3)

Locally recurrent functions, density topologies and algebraic genericity ⋮ On functions continuous with respect to a density type strong generalized topology ⋮ Semigroups of \(\mathcal I\)-density continuous functions

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