Typical approximately continuous functions are surprisingly thick

zbMath0770.26003MaRDI QIDQ1803958

Bernd Kirchheim

Publication date: 29 June 1993

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

zbMATH Keywords

graphHausdorff dimensionlevel settypical bounded approximately continuous function

Mathematics Subject Classification ID

Continuous maps (54C05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Hausdorff and packing measures (28A78)

Related Items

Covering properties of ideals ⋮ Hausdorff Measure and Level Sets of Typical Continuous Mappings in Euclidean Spaces ⋮ Can ideals without ccc be interesting?