The space of density continuous functions

DOI10.1007/BF01903959zbMath0757.26006OpenAlexW2027735974MaRDI QIDQ1187324

Krzysztof Chris Ciesielski, Lee Larson

Publication date: 28 June 1992

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903959

zbMATH Keywords

convex functionsanalytic functionsdensity topologyapproximately continuous functions\(C^ \infty\)-functiondensity continuous functions

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 (2)

Locally recurrent functions, density topologies and algebraic genericity ⋮ The Hausdorff Dimension of Graphs of Density Continuous Functions

Cites Work

• Continuity in the density topology
• Density-preserving homeomorphisms
• DENSITY-PRESERVING HOMEOMORPHISMS AND A THEOREM OF MAXIMOFF
• Unnamed Item

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